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131324746105 = 57178910324077
BaseRepresentation
bin111101001001110010…
…0001001100101111001
3110112222020200022122101
41322103210021211321
54122423113333410
6140155121023401
712326230631620
oct1722344114571
9415866608571
10131324746105
1150770439523
1221550484b61
13c4cb495277
1464db3cc6b7
1536392e0d3a
hex1e93909979

131324746105 has 64 divisors (see below), whose sum is σ = 194719749120. Its totient is φ = 82984771584.

The previous prime is 131324746097. The next prime is 131324746129. The reversal of 131324746105 is 501647423131.

It is a happy number.

It is not a de Polignac number, because 131324746105 - 23 = 131324746097 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5442327 + ... + 5466403.

It is an arithmetic number, because the mean of its divisors is an integer number (3042496080).

Almost surely, 2131324746105 is an apocalyptic number.

It is an amenable number.

131324746105 is a deficient number, since it is larger than the sum of its proper divisors (63395003015).

131324746105 is a wasteful number, since it uses less digits than its factorization.

131324746105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24298.

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 131324746105 in words is "one hundred thirty-one billion, three hundred twenty-four million, seven hundred forty-six thousand, one hundred five".

Divisors: 1 5 7 17 35 85 89 103 119 445 515 595 623 721 1513 1751 3115 3605 7565 8755 9167 10591 12257 24077 45835 52955 61285 64169 120385 155839 168539 320845 409309 779195 842695 1090873 2046545 2142853 2479931 2865163 5454365 10714265 12399655 14325815 14999971 17359517 36428501 42158827 74999855 86797585 182142505 210794135 220713859 254999507 295111789 1103569295 1274997535 1475558945 1544997013 3752135603 7724985065 18760678015 26264949221 131324746105