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131330232121 = 11371376013919
BaseRepresentation
bin111101001001111100…
…1000100111100111001
3110112222122000001001011
41322103321010330321
54122431014411441
6140155434353521
712326325361054
oct1722371047471
9415878001034
10131330232121
1150773546220
122155228b8a1
13c4cc66632a
1464dc019a9b
153639a26581
hex1e93e44f39

131330232121 has 32 divisors (see below), whose sum is σ = 148500011520. Its totient is φ = 115095168000.

The previous prime is 131330232119. The next prime is 131330232149. The reversal of 131330232121 is 121232033131.

It is a cyclic number.

It is not a de Polignac number, because 131330232121 - 21 = 131330232119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131330232092 and 131330232101.

It is not an unprimeable number, because it can be changed into a prime (131330232521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33509200 + ... + 33513118.

It is an arithmetic number, because the mean of its divisors is an integer number (4640625360).

Almost surely, 2131330232121 is an apocalyptic number.

131330232121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131330232121 is a deficient number, since it is larger than the sum of its proper divisors (17169779399).

131330232121 is a wasteful number, since it uses less digits than its factorization.

131330232121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4705.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 131330232121 its reverse (121232033131), we get a palindrome (252562265252).

The spelling of 131330232121 in words is "one hundred thirty-one billion, three hundred thirty million, two hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 11 37 137 407 601 1507 3919 5069 6611 22237 43109 55759 82337 145003 244607 536903 905707 1595033 2355319 3046469 5905933 19865411 25908509 33511159 87146803 218519521 322678703 958614833 3549465733 11939112011 131330232121