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131202441120410 = 25112891224199529
BaseRepresentation
bin11101110101001111110010…
…111001011000101010011010
3122012112211102201010011102022
4131311033302321120222122
5114144110044411323120
61143013322552134442
736431030541453602
oct3565176271305232
9565484381104368
10131202441120410
1138894708632200
121286bab4097422
13582944c82532a
1424583369abc02
151027d2372e025
hex7753f2e58a9a

131202441120410 has 96 divisors (see below), whose sum is σ = 262526431179600. Its totient is φ = 47169583718400.

The previous prime is 131202441120403. The next prime is 131202441120433. The reversal of 131202441120410 is 14021144202131.

It can be written as a sum of positive squares in 8 ways, for example, as 2828306607049 + 128374134513361 = 1681757^2 + 11330231^2 .

It is a super-2 number, since 2×1312024411204102 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131202441120410.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1318183526 + ... + 1318283054.

Almost surely, 2131202441120410 is an apocalyptic number.

131202441120410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131202441120410 is an abundant number, since it is smaller than the sum of its proper divisors (131323990059190).

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

131202441120410 is a wasteful number, since it uses less digits than its factorization.

131202441120410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111888 (or 111877 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 131202441120410 its reverse (14021144202131), we get a palindrome (145223585322541).

The spelling of 131202441120410 in words is "one hundred thirty-one trillion, two hundred two billion, four hundred forty-one million, one hundred twenty thousand, four hundred ten".

Divisors: 1 2 5 10 11 22 55 89 110 121 178 242 445 605 890 979 1210 1958 4895 9790 10769 12241 21538 24482 53845 61205 99529 107690 122410 134651 199058 269302 497645 673255 995290 1089449 1094819 1346510 1481161 2178898 2189638 2962322 5447245 5474095 7405805 8858081 10894490 10948190 11983939 12043009 14811610 17716162 23967878 24086018 44290405 59919695 60215045 88580810 97438891 119839390 120430090 131823329 194877782 263646658 487194455 659116645 974388910 1071827801 1218334489 1318233290 2143655602 2436668978 5359139005 6091672445 10718278010 12183344890 13401679379 26803358758 67008396895 108431769521 134016793790 147418473169 216863539042 294836946338 542158847605 737092365845 1084317695210 1192749464731 1474184731690 2385498929462 5963747323655 11927494647310 13120244112041 26240488224082 65601220560205 131202441120410