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323131310012331 = 352297578910961
BaseRepresentation
bin100100101111000101101111…
…0111100101111011110101011
31120101010001101120122010200000
41021132023132330233132223
5314323140410330343311
63103124250255114043
7125030316043454262
oct11136133674573653
91511101346563600
10323131310012331
1193a61245538a87
12302a9019b12923
1310b3c1c86225a2
1459b18d30215d9
1527555c0cb9056
hex125e2def2f7ab

323131310012331 has 24 divisors (see below), whose sum is σ = 484242810206064. Its totient is φ = 215327089393920.

The previous prime is 323131310012309. The next prime is 323131310012359. The reversal of 323131310012331 is 133210013131323.

323131310012331 is a `hidden beast` number, since 3 + 2 + 3 + 1 + 3 + 1 + 310 + 0 + 12 + 331 = 666.

It is not a de Polignac number, because 323131310012331 - 238 = 322856432105387 is a prime.

It is a super-2 number, since 2×3231313100123312 (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 = 323131310012295 and 323131310012304.

It is not an unprimeable number, because it can be changed into a prime (323131310012831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288897310 + ... + 290013651.

It is an arithmetic number, because the mean of its divisors is an integer number (20176783758586).

Almost surely, 2323131310012331 is an apocalyptic number.

323131310012331 is a deficient number, since it is larger than the sum of its proper divisors (161111500193733).

323131310012331 is an equidigital number, since it uses as much as digits as its factorization.

323131310012331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578913273 (or 578913261 counting only the distinct ones).

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

Adding to 323131310012331 its reverse (133210013131323), we get a palindrome (456341323143654).

The spelling of 323131310012331 in words is "three hundred twenty-three trillion, one hundred thirty-one billion, three hundred ten million, twelve thousand, three hundred thirty-one".

Divisors: 1 3 9 27 81 243 2297 6891 20673 62019 186057 558171 578910961 1736732883 5210198649 15630595947 46891787841 140675363523 1329758477417 3989275432251 11967826296753 35903478890259 107710436670777 323131310012331