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232521145102341 = 3235056173698109
BaseRepresentation
bin110100110111101000001100…
…010000011011000000000101
31010111021210201101121212121200
4310313220030100123000011
5220434111301121233331
62142310423413533113
766656045510550234
oct6467501420330005
91114253641555550
10232521145102341
11680a7733661a77
12220b41a5044199
139c9885aa9a924
14415c125088b1b
151bd361ded95e6
hexd37a0c41b005

232521145102341 has 12 divisors (see below), whose sum is σ = 335864838891660. Its totient is φ = 155013652442880.

The previous prime is 232521145102339. The next prime is 232521145102349. The reversal of 232521145102341 is 143201541125232.

232521145102341 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 2 + 114 + 510 + 23 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98789267039841 + 133731878062500 = 9939279^2 + 11564250^2 .

It is not a de Polignac number, because 232521145102341 - 21 = 232521145102339 is a prime.

It is a super-2 number, since 2×2325211451023412 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232521145102296 and 232521145102305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232521145102349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33694006 + ... + 40004103.

It is an arithmetic number, because the mean of its divisors is an integer number (27988736574305).

Almost surely, 2232521145102341 is an apocalyptic number.

It is an amenable number.

232521145102341 is a deficient number, since it is larger than the sum of its proper divisors (103343693789319).

232521145102341 is a wasteful number, since it uses less digits than its factorization.

232521145102341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74048676 (or 74048673 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 232521145102341 its reverse (143201541125232), we get a palindrome (375722686227573).

The spelling of 232521145102341 in words is "two hundred thirty-two trillion, five hundred twenty-one billion, one hundred forty-five million, one hundred two thousand, three hundred forty-one".

Divisors: 1 3 9 350561 1051683 3155049 73698109 221094327 663282981 25835682789149 77507048367447 232521145102341