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13123110132 = 22331130833583
BaseRepresentation
bin11000011100011001…
…01100010011110100
31020212120110001211000
430032030230103310
5203334004011012
610010105443300
7643126411206
oct141614542364
936776401730
1013123110132
115624720970
122662aa0530
131311a47432
148c6c54776
1551c16dddc
hex30e32c4f4

13123110132 has 96 divisors (see below), whose sum is σ = 37138268160. Its totient is φ = 3974300640.

The previous prime is 13123110107. The next prime is 13123110139. The reversal of 13123110132 is 23101132131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123110139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3660813 + ... + 3664395.

It is an arithmetic number, because the mean of its divisors is an integer number (386856960).

Almost surely, 213123110132 is an apocalyptic number.

13123110132 is a gapful number since it is divisible by the number (12) 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 13123110132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18569134080).

13123110132 is an abundant number, since it is smaller than the sum of its proper divisors (24015158028).

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

13123110132 is a wasteful number, since it uses less digits than its factorization.

13123110132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6690 (or 6682 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13123110132 its reverse (23101132131), we get a palindrome (36224242263).

The spelling of 13123110132 in words is "thirteen billion, one hundred twenty-three million, one hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 3083 3583 6166 7166 9249 10749 12332 14332 18498 21498 27747 32247 33913 36996 39413 42996 55494 64494 67826 78826 83241 96741 101739 110988 118239 128988 135652 157652 166482 193482 203478 236478 305217 332964 354717 386964 406956 472956 610434 709434 915651 1064151 1220868 1418868 1831302 2128302 3662604 4256604 11046389 22092778 33139167 44185556 66278334 99417501 121510279 132556668 198835002 243020558 298252503 364530837 397670004 486041116 596505006 729061674 1093592511 1193010012 1458123348 2187185022 3280777533 4374370044 6561555066 13123110132