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232101232121 = 113837392843
BaseRepresentation
bin1101100000101001001…
…1111011110111111001
3211012002112102020110102
43120022103323313321
512300320403411441
6254343102525145
722524453631013
oct3301223736771
9735075366412
10232101232121
118a485105000
1238b962967b5
1318b6bb13b95
14b33b6171b3
1560867aa69b
hex360a4fbdf9

232101232121 has 32 divisors (see below), whose sum is σ = 258810370560. Its totient is φ = 208103631120.

The previous prime is 232101232093. The next prime is 232101232133. The reversal of 232101232121 is 121232101232.

232101232121 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a de Polignac number, because none of the positive numbers 2k-232101232121 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 232101232093 and 232101232102.

It is not an unprimeable number, because it can be changed into a prime (232101232171) 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, 81638126 + ... + 81640968.

It is an arithmetic number, because the mean of its divisors is an integer number (8087824080).

Almost surely, 2232101232121 is an apocalyptic number.

It is an amenable number.

232101232121 is a deficient number, since it is larger than the sum of its proper divisors (26709138439).

232101232121 is an equidigital number, since it uses as much as digits as its factorization.

232101232121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3698 (or 3676 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 232101232121 its reverse (121232101232), we get a palindrome (353333333353).

The spelling of 232101232121 in words is "two hundred thirty-two billion, one hundred one million, two hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 11 83 121 739 913 1331 2843 8129 10043 31273 61337 89419 110473 235969 344003 674707 983609 2100977 2595659 3784033 7421777 23110747 28552249 81639547 174381091 254218217 314074739 1918192001 2796400387 21100112011 232101232121