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23132413103535 = 3255359164391949
BaseRepresentation
bin1010100001001111011110…
…10001000000110110101111
310000220102210122100101110200
411100213233101000312233
511013000140223303120
6121110514530004543
74605155522053431
oct520475721006657
9100812718311420
1023132413103535
11740944615528a
122717272416753
13cba4b9911478
1459d886cd0651
152a1ad9201e90
hex1509ef440daf

23132413103535 has 48 divisors (see below), whose sum is σ = 41545133604000. Its totient is φ = 11899346764032.

The previous prime is 23132413103521. The next prime is 23132413103599. The reversal of 23132413103535 is 53530131423132.

23132413103535 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 2 + 4 + 13 + 103 + 535 = 666.

It is not a de Polignac number, because 23132413103535 - 219 = 23132412579247 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 23132413103535.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 82055260 + ... + 82336689.

It is an arithmetic number, because the mean of its divisors is an integer number (865523616750).

Almost surely, 223132413103535 is an apocalyptic number.

23132413103535 is a deficient number, since it is larger than the sum of its proper divisors (18412720500465).

23132413103535 is a wasteful number, since it uses less digits than its factorization.

23132413103535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164392072 (or 164392069 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 23132413103535 its reverse (53530131423132), we get a palindrome (76662544526667).

The spelling of 23132413103535 in words is "twenty-three trillion, one hundred thirty-two billion, four hundred thirteen million, one hundred three thousand, five hundred thirty-five".

Divisors: 1 3 5 9 15 45 53 59 159 177 265 295 477 531 795 885 2385 2655 3127 9381 15635 28143 46905 140715 164391949 493175847 821959745 1479527541 2465879235 7397637705 8712773297 9699124991 26138319891 29097374973 43563866485 48495624955 78414959673 87292124919 130691599455 145486874865 392074798365 436460624595 514053624523 1542160873569 2570268122615 4626482620707 7710804367845 23132413103535