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23505023541213 = 32199153119134481
BaseRepresentation
bin1010101100000101100001…
…00101000001111111011101
310002020001120111121211101100
411112002300211001333131
511040101242011304323
6121554020404503313
74644116252401164
oct526026045017735
9102201514554340
1023505023541213
117542474018065
1227775209aab39
13101668b9434a6
145b39136063db
152ab646264943
hex1560b0941fdd

23505023541213 has 48 divisors (see below), whose sum is σ = 34170072393600. Its totient is φ = 15569468006400.

The previous prime is 23505023541193. The next prime is 23505023541229. The reversal of 23505023541213 is 31214532050532.

23505023541213 is a `hidden beast` number, since 2 + 3 + 5 + 0 + 5 + 0 + 235 + 412 + 1 + 3 = 666.

It is not a de Polignac number, because 23505023541213 - 233 = 23496433606621 is a prime.

It is a super-2 number, since 2×235050235412132 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23505023541283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5245483933 + ... + 5245488413.

It is an arithmetic number, because the mean of its divisors is an integer number (711876508200).

Almost surely, 223505023541213 is an apocalyptic number.

It is an amenable number.

23505023541213 is a deficient number, since it is larger than the sum of its proper divisors (10665048852387).

23505023541213 is a wasteful number, since it uses less digits than its factorization.

23505023541213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8130 (or 8127 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 23505023541213 its reverse (31214532050532), we get a palindrome (54719555591745).

The spelling of 23505023541213 in words is "twenty-three trillion, five hundred five billion, twenty-three million, five hundred forty-one thousand, two hundred thirteen".

Divisors: 1 3 9 199 597 1531 1791 1913 4481 4593 5739 13443 13779 17217 40329 304669 380687 891719 914007 1142061 2675157 2742021 2928803 3426183 6860411 8025471 8572153 8786409 20581233 25716459 26359227 61743699 77149377 582831797 1365221789 1705858447 1748495391 4095665367 5117575341 5245486173 12286996101 13123966243 15352726023 39371898729 118115696187 2611669282357 7835007847071 23505023541213