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131032122123 = 37531912392579
BaseRepresentation
bin111101000001000011…
…1111000001100001011
3110112012212001111000010
41322002013320030023
54121323210401443
6140110105043003
712316045442520
oct1720207701413
9415185044003
10131032122123
1150630242821
122148a486463
13c48297a896
1464b05b9147
15361d78c733
hex1e821f830b

131032122123 has 64 divisors (see below), whose sum is σ = 205435699200. Its totient is φ = 72744147840.

The previous prime is 131032122061. The next prime is 131032122127. The reversal of 131032122123 is 321221230131.

It is not a de Polignac number, because 131032122123 - 26 = 131032122059 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 131032122123.

It is not an unprimeable number, because it can be changed into a prime (131032122127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50806048 + ... + 50808626.

It is an arithmetic number, because the mean of its divisors is an integer number (3209932800).

Almost surely, 2131032122123 is an apocalyptic number.

131032122123 is a deficient number, since it is larger than the sum of its proper divisors (74403577077).

131032122123 is a wasteful number, since it uses less digits than its factorization.

131032122123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 131032122123 its reverse (321221230131), we get a palindrome (452253352254).

The spelling of 131032122123 in words is "one hundred thirty-one billion, thirty-two million, one hundred twenty-two thousand, one hundred twenty-three".

Divisors: 1 3 7 21 53 159 191 239 371 573 717 1113 1337 1673 2579 4011 5019 7737 10123 12667 18053 30369 38001 45649 54159 70861 88669 136687 136947 212583 266007 319543 410061 492589 616381 956809 958629 1477767 1849143 2419397 2870427 3448123 4314667 7258191 10344369 12944001 16935779 26107217 32668193 50807337 78321651 98004579 117728771 182750519 228677351 353186313 548251557 686032053 824101397 2472304191 6239624863 18718874589 43677374041 131032122123