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123310110132 = 223311257403877
BaseRepresentation
bin111001011010111011…
…0101111010110110100
3102210021200201121222000
41302311312233112310
54010014342011012
6132351535335300
711623511433156
oct1626566572664
9383250647860
10123310110132
1148328384930
121ba94381530
13b821bc9411
145d7abd4ad6
15331a8a3ddc
hex1cb5daf5b4

123310110132 has 96 divisors (see below), whose sum is σ = 350113760640. Its totient is φ = 37221212160.

The previous prime is 123310110073. The next prime is 123310110137. The reversal of 123310110132 is 231011013321.

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 (123310110137) 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 31 ways as a sum of consecutive naturals, for example, 103378 + ... + 507254.

It is an arithmetic number, because the mean of its divisors is an integer number (3647018340).

Almost surely, 2123310110132 is an apocalyptic number.

123310110132 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 123310110132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175056880320).

123310110132 is an abundant number, since it is smaller than the sum of its proper divisors (226803650508).

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

123310110132 is a wasteful number, since it uses less digits than its factorization.

123310110132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404158 (or 404150 counting only the distinct ones).

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

Adding to 123310110132 its reverse (231011013321), we get a palindrome (354321123453).

The spelling of 123310110132 in words is "one hundred twenty-three billion, three hundred ten 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 99 108 132 198 257 297 396 514 594 771 1028 1188 1542 2313 2827 3084 4626 5654 6939 8481 9252 11308 13878 16962 25443 27756 33924 50886 76329 101772 152658 305316 403877 807754 1211631 1615508 2423262 3634893 4442647 4846524 7269786 8885294 10904679 13327941 14539572 17770588 21809358 26655882 39983823 43618716 53311764 79967646 103796389 119951469 159935292 207592778 239902938 311389167 415185556 479805876 622778334 934167501 1141760279 1245556668 1868335002 2283520558 2802502503 3425280837 3736670004 4567041116 5605005006 6850561674 10275842511 11210010012 13701123348 20551685022 30827527533 41103370044 61655055066 123310110132