Search a number
-
+
131512673124 = 223274007130241
BaseRepresentation
bin111101001111011000…
…1000010001101100100
3110120110100022000001100
41322132301002031210
54123314221014444
6140225513000100
712334002164040
oct1723661021544
9416410260040
10131512673124
1150857525908
12215a33b3030
13c52b3b32a1
14651834b020
15364aa62e69
hex1e9ec42364

131512673124 has 72 divisors (see below), whose sum is σ = 380023233408. Its totient is φ = 37565383680.

The previous prime is 131512673113. The next prime is 131512673129. The reversal of 131512673124 is 421376215131.

131512673124 is a `hidden beast` number, since 1 + 31 + 51 + 267 + 312 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (131512673129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 944644 + ... + 1074884.

It is an arithmetic number, because the mean of its divisors is an integer number (5278100464).

Almost surely, 2131512673124 is an apocalyptic number.

131512673124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131512673124 is an abundant number, since it is smaller than the sum of its proper divisors (248510560284).

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

131512673124 is a wasteful number, since it uses less digits than its factorization.

131512673124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134265 (or 134260 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

Adding to 131512673124 its reverse (421376215131), we get a palindrome (552888888255).

The spelling of 131512673124 in words is "one hundred thirty-one billion, five hundred twelve million, six hundred seventy-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 4007 8014 12021 16028 24042 28049 36063 48084 56098 72126 84147 112196 130241 144252 168294 252441 260482 336588 390723 504882 520964 781446 911687 1009764 1172169 1562892 1823374 2344338 2735061 3646748 4688676 5470122 8205183 10940244 16410366 32820732 521875687 1043751374 1565627061 2087502748 3131254122 3653129809 4696881183 6262508244 7306259618 9393762366 10959389427 14612519236 18787524732 21918778854 32878168281 43837557708 65756336562 131512673124