Search a number
-
+
131231332012131 = 3313373878438781
BaseRepresentation
bin11101110101101010101100…
…111011011001000001100011
3122012122121000011102112021000
4131311222230323121001203
5114200043231443342011
61143034501444203043
736433102513132611
oct3565525473310143
9565577004375230
10131231332012131
11388a59937aa81a
1212875617699483
13582c0a519aa30
1424598b79c66b1
151028964cc3356
hex775aaced9063

131231332012131 has 16 divisors (see below), whose sum is σ = 209371925717920. Its totient is φ = 80757742776480.

The previous prime is 131231332012127. The next prime is 131231332012177. The reversal of 131231332012131 is 131210233132131.

131231332012131 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 313 + 320 + 1 + 21 + 3 + 1 = 666.

It is not a de Polignac number, because 131231332012131 - 22 = 131231332012127 is a prime.

It is a super-2 number, since 2×1312313320121312 (a number of 29 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131231332012095 and 131231332012104.

It is not an unprimeable number, because it can be changed into a prime (131231332012181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186939219040 + ... + 186939219741.

It is an arithmetic number, because the mean of its divisors is an integer number (13085745357370).

Almost surely, 2131231332012131 is an apocalyptic number.

131231332012131 is a deficient number, since it is larger than the sum of its proper divisors (78140593705789).

131231332012131 is a wasteful number, since it uses less digits than its factorization.

131231332012131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373878438803 (or 373878438797 counting only the distinct ones).

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

Adding to 131231332012131 its reverse (131210233132131), we get a palindrome (262441565144262).

The spelling of 131231332012131 in words is "one hundred thirty-one trillion, two hundred thirty-one billion, three hundred thirty-two million, twelve thousand, one hundred thirty-one".

Divisors: 1 3 9 13 27 39 117 351 373878438781 1121635316343 3364905949029 4860419704153 10094717847087 14581259112459 43743777337377 131231332012131