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13233213032 = 23131725212969
BaseRepresentation
bin11000101001100001…
…01100111001101000
31021011020121212121012
430110300230321220
5204100200304112
610025041403052
7645634312004
oct142460547150
937136555535
1013233213032
1156808928a6
122693939488
13132b7b7590
148d7715704
15526b6c022
hex314c2ce68

13233213032 has 64 divisors (see below), whose sum is σ = 28313485200. Its totient is φ = 5744148480.

The previous prime is 13233213031. The next prime is 13233213041. The reversal of 13233213032 is 23031233231.

It can be written as a sum of positive squares in 8 ways, for example, as 391876 + 13232821156 = 626^2 + 115034^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13233212989 and 13233213007.

It is not an unprimeable number, because it can be changed into a prime (13233213031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4455644 + ... + 4458612.

Almost surely, 213233213032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13233213032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14156742600).

13233213032 is an abundant number, since it is smaller than the sum of its proper divisors (15080272168).

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

13233213032 is a wasteful number, since it uses less digits than its factorization.

13233213032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5526 (or 5522 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 13233213032 its reverse (23031233231), we get a palindrome (36264446263).

The spelling of 13233213032 in words is "thirteen billion, two hundred thirty-three million, two hundred thirteen thousand, thirty-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 2521 2969 5042 5938 10084 11876 20168 23752 32773 38597 42857 50473 65546 77194 85714 100946 131092 154388 171428 201892 262184 308776 342856 403784 557141 656149 1114282 1312298 2228564 2624596 4457128 5249192 7484849 14969698 29939396 59878792 97303037 127242433 194606074 254484866 389212148 508969732 778424296 1017939464 1654151629 3308303258 6616606516 13233213032