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151264531341 = 32711317041127
BaseRepresentation
bin1000110011100000010…
…0011001001110001101
3112110102212220100202200
42030320010121032031
54434242210000331
6153253455512113
713633322205360
oct2147004311615
9473385810680
10151264531341
1159172980280
1225396228639
1311358549261
14746d6bc0d7
153e04b155e6
hex233811938d

151264531341 has 48 divisors (see below), whose sum is σ = 281194487808. Its totient is φ = 76044160800.

The previous prime is 151264531321. The next prime is 151264531343. The reversal of 151264531341 is 143135462151.

151264531341 is a `hidden beast` number, since 1 + 5 + 1 + 2 + 645 + 3 + 1 + 3 + 4 + 1 = 666.

It is not a de Polignac number, because 151264531341 - 213 = 151264523149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 151264531296 and 151264531305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151264531343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3499081 + ... + 3542046.

It is an arithmetic number, because the mean of its divisors is an integer number (5858218496).

Almost surely, 2151264531341 is an apocalyptic number.

151264531341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

151264531341 is a deficient number, since it is larger than the sum of its proper divisors (129929956467).

151264531341 is a wasteful number, since it uses less digits than its factorization.

151264531341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7041182 (or 7041179 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

Adding to 151264531341 its reverse (143135462151), we get a palindrome (294399993492).

The spelling of 151264531341 in words is "one hundred fifty-one billion, two hundred sixty-four million, five hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 3 7 9 11 21 31 33 63 77 93 99 217 231 279 341 651 693 1023 1953 2387 3069 7161 21483 7041127 21123381 49287889 63370143 77452397 147863667 218274937 232357191 443591001 542166779 654824811 697071573 1527924559 1626500337 1964474433 2401024307 4583773677 4879501011 7203072921 13751321031 16807170149 21609218763 50421510447 151264531341