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131330351034 = 232711000910267
BaseRepresentation
bin111101001001111100…
…1100001111110111010
3110112222122020002011100
41322103321201332322
54122431032213114
6140155441112230
712326326364541
oct1722371417672
9415878202140
10131330351034
11507736175a3
1221552328676
13c4cc6a84ac
1464dc04b158
153639a4b909
hex1e93e61fba

131330351034 has 48 divisors (see below), whose sum is σ = 288613765440. Its totient is φ = 43151693760.

The previous prime is 131330351029. The next prime is 131330351059. The reversal of 131330351034 is 430153033131.

131330351034 is a `hidden beast` number, since 1 + 313 + 303 + 5 + 10 + 34 = 666.

131330351034 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1313303510342 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131330350989 and 131330351007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12786369 + ... + 12796635.

It is an arithmetic number, because the mean of its divisors is an integer number (6012786780).

Almost surely, 2131330351034 is an apocalyptic number.

131330351034 is an abundant number, since it is smaller than the sum of its proper divisors (157283414406).

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

131330351034 is a wasteful number, since it uses less digits than its factorization.

131330351034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20355 (or 20352 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 131330351034 its reverse (430153033131), we get a palindrome (561483384165).

The spelling of 131330351034 in words is "one hundred thirty-one billion, three hundred thirty million, three hundred fifty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 18 71 142 213 426 639 1278 10009 10267 20018 20534 30027 30801 60054 61602 90081 92403 180162 184806 710639 728957 1421278 1457914 2131917 2186871 4263834 4373742 6395751 6560613 12791502 13121226 102762403 205524806 308287209 616574418 924861627 1849723254 7296130613 14592261226 21888391839 43776783678 65665175517 131330351034