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201023232222032 = 24114161523873209
BaseRepresentation
bin101101101101010001011110…
…010110010010001101010000
3222100202122002200120122101022
4231231101132112102031100
5202322031034422101112
61551312444211055012
760225310043562353
oct5555213626221520
9870678080518338
10201023232222032
1159063523a19540
121a6677958a1468
13882254277335c
14378d80d72829a
1518391201d6d72
hexb6d45e592350

201023232222032 has 160 divisors (see below), whose sum is σ = 443234857403520. Its totient is φ = 87516398592000.

The previous prime is 201023232222011. The next prime is 201023232222049. The reversal of 201023232222032 is 230222232320102.

It is a junction number, because it is equal to n+sod(n) for n = 201023232221992 and 201023232222010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229775444 + ... + 230648652.

It is an arithmetic number, because the mean of its divisors is an integer number (2770217858772).

Almost surely, 2201023232222032 is an apocalyptic number.

201023232222032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201023232222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221617428701760).

201023232222032 is an abundant number, since it is smaller than the sum of its proper divisors (242211625181488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201023232222032 is a wasteful number, since it uses less digits than its factorization.

201023232222032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873853 (or 873847 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 201023232222032 its reverse (230222232320102), we get a palindrome (431245464542134).

The spelling of 201023232222032 in words is "two hundred one trillion, twenty-three billion, two hundred thirty-two million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 41 44 61 82 88 122 164 176 244 328 451 488 523 656 671 902 976 1046 1342 1804 2092 2501 2684 3608 4184 5002 5368 5753 7216 8368 10004 10736 11506 20008 21443 23012 27511 31903 40016 42886 46024 55022 63806 85772 92048 110044 127612 171544 220088 235873 255224 343088 350933 440176 471746 510448 701866 873209 943492 1308023 1403732 1746418 1886984 2616046 2807464 3492836 3773968 5232092 5614928 6985672 9605299 10464184 13971344 14388253 19210598 20928368 28776506 35801569 38421196 53265749 57553012 71603138 76842392 106531498 115106024 143206276 153684784 213062996 230212048 286412552 393817259 426125992 456688307 572825104 585923239 787634518 852251984 913376614 1171846478 1575269036 1826753228 2183895709 2343692956 3150538072 3653506456 4367791418 4687385912 5023571377 6301076144 7307012912 8735582836 9374771824 10047142754 17471165672 18724220587 20094285508 24022852799 27857986727 34942331344 37448441174 40188571016 48045705598 55715973454 74896882348 80377142032 96091411196 111431946908 149793764696 192182822392 205966426457 222863893816 299587529392 306437853997 384365644784 411932852914 445727787632 612875707994 823865705828 1142177455807 1225751415988 1647731411656 2284354911614 2451502831976 3295462823312 4568709823228 4903005663952 9137419646456 12563952013877 18274839292912 25127904027754 50255808055508 100511616111016 201023232222032