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232121961 = 32173794003
BaseRepresentation
bin11011101010111…
…10011001101001
3121011210000110200
431311132121221
5433410400321
635011102413
75516001261
oct1565363151
9534700420
10232121961
1110a032735
12658a1a09
1339123096
1422b847a1
15155a1d26
hexdd5e669

232121961 has 24 divisors (see below), whose sum is σ = 356035680. Its totient is φ = 145224576.

The previous prime is 232121941. The next prime is 232121999. The reversal of 232121961 is 169121232.

It is not a de Polignac number, because 232121961 - 210 = 232120937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (232121921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55986 + ... + 59988.

It is an arithmetic number, because the mean of its divisors is an integer number (14834820).

Almost surely, 2232121961 is an apocalyptic number.

It is an amenable number.

232121961 is a deficient number, since it is larger than the sum of its proper divisors (123913719).

232121961 is a wasteful number, since it uses less digits than its factorization.

232121961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4405 (or 4402 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 232121961 is about 15235.5492516680. The cubic root of 232121961 is about 614.5710195027.

The spelling of 232121961 in words is "two hundred thirty-two million, one hundred twenty-one thousand, nine hundred sixty-one".

Divisors: 1 3 9 17 51 153 379 1137 3411 4003 6443 12009 19329 36027 57987 68051 204153 612459 1517137 4551411 13654233 25791329 77373987 232121961