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131333415224121 = 321165315271133033
BaseRepresentation
bin11101110111001001110001…
…100011111100001100111001
3122020000100111112000000010100
4131313021301203330030321
5114203231313244132441
61143153423225510013
736443345314124505
oct3567116143741471
9566010445000110
10131333415224121
1138935209047920
1212891367042309
1358388c346ab96
1424607dd5a3305
15102b43bd5acb6
hex7772718fc339

131333415224121 has 48 divisors (see below), whose sum is σ = 207281675981952. Its totient is φ = 79468314796800.

The previous prime is 131333415224119. The next prime is 131333415224131. The reversal of 131333415224121 is 121422514333131.

131333415224121 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 3 + 4 + 1 + 522 + 4 + 121 = 666.

It is not a de Polignac number, because 131333415224121 - 21 = 131333415224119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131333415224131) 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, 987157821 + ... + 987290853.

It is an arithmetic number, because the mean of its divisors is an integer number (4318368249624).

Almost surely, 2131333415224121 is an apocalyptic number.

131333415224121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131333415224121 is a deficient number, since it is larger than the sum of its proper divisors (75948260757831).

131333415224121 is a wasteful number, since it uses less digits than its factorization.

131333415224121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148974 (or 148971 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

Adding to 131333415224121 its reverse (121422514333131), we get a palindrome (252755929557252).

The spelling of 131333415224121 in words is "one hundred thirty-one trillion, three hundred thirty-three billion, four hundred fifteen million, two hundred twenty-four thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 653 1959 5877 7183 15271 21549 45813 64647 133033 137439 167981 399099 503943 1197297 1463363 1511829 4390089 9971963 13170267 29915889 86870549 89747667 109691593 260611647 329074779 781834941 955576039 987224337 2031546943 2866728117 6094640829 8600184351 18283922487 22347016373 67041049119 201123147357 1326600153779 3979800461337 11939401384011 14592601691569 43777805074707 131333415224121