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131243331310 = 25713532721197
BaseRepresentation
bin111101000111010110…
…1100100111011101110
3110112202120111000112121
41322032231210323232
54122241243100220
6140143052023154
712324221623660
oct1721655447356
9415676430477
10131243331310
1150729491373
1221529161aba
13c4b765ac30
1464d0678530
1536320aceaa
hex1e8eb64eee

131243331310 has 64 divisors (see below), whose sum is σ = 296240499072. Its totient is φ = 40752631296.

The previous prime is 131243331299. The next prime is 131243331311. The reversal of 131243331310 is 13133342131.

It is a super-2 number, since 2×1312433313102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131243331311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1312369 + ... + 1408828.

It is an arithmetic number, because the mean of its divisors is an integer number (4628757798).

Almost surely, 2131243331310 is an apocalyptic number.

131243331310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131243331310 is an abundant number, since it is smaller than the sum of its proper divisors (164997167762).

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

131243331310 is a wasteful number, since it uses less digits than its factorization.

131243331310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721277.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 131243331310 its reverse (13133342131), we get a palindrome (144376673441).

The spelling of 131243331310 in words is "one hundred thirty-one billion, two hundred forty-three million, three hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 53 65 70 91 106 130 182 265 371 455 530 689 742 910 1378 1855 3445 3710 4823 6890 9646 24115 48230 2721197 5442394 13605985 19048379 27211970 35375561 38096758 70751122 95241895 144223441 176877805 190483790 247628927 288446882 353755610 495257854 721117205 1009564087 1238144635 1442234410 1874904733 2019128174 2476289270 3749809466 5047820435 9374523665 10095640870 13124333131 18749047330 26248666262 65621665655 131243331310