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123311022321132 = 223241949116649603
BaseRepresentation
bin11100000010011010010101…
…101011101010110111101100
3121011121102022011102021012200
4130002122111223222313230
5112130311433203234012
61114132145052101500
734654633041433632
oct3402322553526754
9534542264367180
10123311022321132
1136321a02430198
12119b6603a64890
1353a62444c9889
1422643dcd09352
15e3c9090563dc
hex702695aeadec

123311022321132 has 72 divisors (see below), whose sum is σ = 313083149520960. Its totient is φ = 40922057779680.

The previous prime is 123311022321121. The next prime is 123311022321161. The reversal of 123311022321132 is 231123220113321.

123311022321132 is a `hidden beast` number, since 1 + 2 + 3 + 311 + 0 + 2 + 232 + 113 + 2 = 666.

It is a super-2 number, since 2×1233110223211322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123311022321096 and 123311022321105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 918558 + ... + 15731045.

It is an arithmetic number, because the mean of its divisors is an integer number (4348377076680).

Almost surely, 2123311022321132 is an apocalyptic number.

123311022321132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123311022321132 is an abundant number, since it is smaller than the sum of its proper divisors (189772127199828).

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

123311022321132 is a wasteful number, since it uses less digits than its factorization.

123311022321132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16650523 (or 16650518 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 123311022321132 its reverse (231123220113321), we get a palindrome (354434242434453).

The spelling of 123311022321132 in words is "one hundred twenty-three trillion, three hundred eleven billion, twenty-two million, three hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 419 491 838 982 1257 1473 1676 1964 2514 2946 3771 4419 5028 5892 7542 8838 15084 17676 205729 411458 617187 822916 1234374 1851561 2468748 3703122 7406244 16649603 33299206 49948809 66598412 99897618 149846427 199795236 299692854 599385708 6976183657 8174955073 13952367314 16349910146 20928550971 24524865219 27904734628 32699820292 41857101942 49049730438 62785652913 73574595657 83714203884 98099460876 125571305826 147149191314 251142611652 294298382628 3425306175587 6850612351174 10275918526761 13701224702348 20551837053522 30827755580283 41103674107044 61655511160566 123311022321132