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202012000110 = 23451731746279
BaseRepresentation
bin1011110000100011011…
…0100111111101101110
3201022102120012212210000
42330020312213331232
511302210033000420
6232445242125130
720411021445354
oct2741066477556
9638376185700
10202012000110
1178744564708
12331994b07a6
131608510859b
149ac53c17d4
1553c4e07690
hex2f08da7f6e

202012000110 has 160 divisors (see below), whose sum is σ = 576966836160. Its totient is φ = 50540018688.

The previous prime is 202012000049. The next prime is 202012000117. The reversal of 202012000110 is 11000210202.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 202012000092 and 202012000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202012000117) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 4341951 + ... + 4388229.

It is an arithmetic number, because the mean of its divisors is an integer number (3606042726).

Almost surely, 2202012000110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202012000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288483418080).

202012000110 is an abundant number, since it is smaller than the sum of its proper divisors (374954836050).

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

202012000110 is a wasteful number, since it uses less digits than its factorization.

202012000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46632 (or 46623 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 202012000110 its reverse (11000210202), we get a palindrome (213012210312).

The spelling of 202012000110 in words is "two hundred two billion, twelve million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 317 405 459 510 634 765 810 918 951 1377 1530 1585 1902 2295 2754 2853 3170 4590 4755 5389 5706 6885 8559 9510 10778 13770 14265 16167 17118 25677 26945 28530 32334 42795 46279 48501 51354 53890 80835 85590 92558 97002 128385 138837 145503 161670 231395 242505 256770 277674 291006 416511 436509 462790 485010 694185 727515 786743 833022 873018 1249533 1388370 1455030 1573486 2082555 2182545 2360229 2499066 3748599 3933715 4165110 4365090 4720458 6247665 7080687 7497198 7867430 11801145 12495330 14161374 14670443 18742995 21242061 23602290 29340886 35403435 37485990 42484122 44011329 63726183 70806870 73352215 88022658 106210305 127452366 132033987 146704430 212420610 220056645 249397531 264067974 318630915 396101961 440113290 498795062 637261830 660169935 748192593 792203922 1188305883 1246987655 1320339870 1496385186 1980509805 2244577779 2376611766 2493975310 3740962965 3961019610 4489155558 5941529415 6733733337 7481925930 11222888895 11883058830 13467466674 20201200011 22445777790 33668666685 40402400022 67337333370 101006000055 202012000110