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323031113130132 = 2233111317738833041
BaseRepresentation
bin100100101110010111000101…
…0101111111110000010010100
31120100202110202200112010211000
41021130232022233332002110
5314320020204430131012
63103010240020143300
7125020141056145221
oct11134561257760224
91510673680463730
10323031113130132
1193a227a8a5a420
1230291716237b30
1310b3291b0aaa04
1459aab09b90948
152752ba963dddc
hex125cb8abfe094

323031113130132 has 384 divisors, whose sum is σ = 923135907133440. Its totient is φ = 96873573888000.

The previous prime is 323031113130127. The next prime is 323031113130169. The reversal of 323031113130132 is 231031311130323.

323031113130132 is a `hidden beast` number, since 3 + 2 + 3 + 0 + 311 + 1 + 313 + 0 + 1 + 32 = 666.

It is a super-2 number, since 2×3230311131301322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 323031113130096 and 323031113130105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106225290532 + ... + 106225293572.

It is an arithmetic number, because the mean of its divisors is an integer number (2403999758160).

Almost surely, 2323031113130132 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 323031113130132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461567953566720).

323031113130132 is an abundant number, since it is smaller than the sum of its proper divisors (600104794003308).

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

323031113130132 is a wasteful number, since it uses less digits than its factorization.

323031113130132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852 (or 4844 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 323031113130132 its reverse (231031311130323), we get a palindrome (554062424260455).

The spelling of 323031113130132 in words is "three hundred twenty-three trillion, thirty-one billion, one hundred thirteen million, one hundred thirty thousand, one hundred thirty-two".