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131303112123231 = 32193163242761447
BaseRepresentation
bin11101110110101101100011…
…010110110010001101011111
3122012220110021122100222111100
4131312231203112302031133
5114202232233200420411
61143131452245124143
736441223344042546
oct3566554326621537
9565813248328440
10131303112123231
1138923378801694
121288750a6b9653
135835aa4360759
14245d166bb915d
15102a76680e456
hex776b635b235f

131303112123231 has 24 divisors (see below), whose sum is σ = 199705277582720. Its totient is φ = 82902062763216.

The previous prime is 131303112123221. The next prime is 131303112123251. The reversal of 131303112123231 is 132321211303131.

131303112123231 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 311 + 21 + 2 + 323 + 1 = 666.

It is not a de Polignac number, because 131303112123231 - 218 = 131303111861087 is a prime.

It is a super-2 number, since 2×1313031121232312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131303112123195 and 131303112123204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131303112123221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120839851 + ... + 121921596.

Almost surely, 2131303112123231 is an apocalyptic number.

131303112123231 is a deficient number, since it is larger than the sum of its proper divisors (68402165459489).

131303112123231 is a wasteful number, since it uses less digits than its factorization.

131303112123231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242764635 (or 242764632 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 131303112123231 its reverse (132321211303131), we get a palindrome (263624323426362).

The spelling of 131303112123231 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred twelve million, one hundred twenty-three thousand, two hundred thirty-one".

Divisors: 1 3 9 19 57 171 3163 9489 28467 60097 180291 540873 242761447 728284341 2184853023 4612467493 13837402479 41512207437 767854456861 2303563370583 6910690111749 14589234680359 43767704041077 131303112123231