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13004023414021 = 4110727164317011
BaseRepresentation
bin1011110100111011110000…
…1100100011110100000101
31201001011122202021010201121
42331032330030203310011
53201024214443222041
643353544344153541
72511336552143413
oct275167414436405
951034582233647
1013004023414021
114163a80226252
1215603251688b1
137343743b7183
1432d5805122b3
151783e79d47d1
hexbd3bc323d05

13004023414021 has 32 divisors (see below), whose sum is σ = 13517089560576. Its totient is φ = 12501696816000.

The previous prime is 13004023413959. The next prime is 13004023414093. The reversal of 13004023414021 is 12041432040031.

It is not a de Polignac number, because 13004023414021 - 233 = 12995433479429 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13004023414121) 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, 764439406 + ... + 764456416.

It is an arithmetic number, because the mean of its divisors is an integer number (422409048768).

Almost surely, 213004023414021 is an apocalyptic number.

It is an amenable number.

13004023414021 is a deficient number, since it is larger than the sum of its proper divisors (513066146555).

13004023414021 is a wasteful number, since it uses less digits than its factorization.

13004023414021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18073.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 13004023414021 its reverse (12041432040031), we get a palindrome (25045455454052).

The spelling of 13004023414021 in words is "thirteen trillion, four billion, twenty-three million, four hundred fourteen thousand, twenty-one".

Divisors: 1 41 107 271 643 4387 11111 17011 26363 28997 68801 174253 697451 1188877 1820177 2820841 4609981 7144373 10938073 18645071 74627257 189009221 448460993 493267967 764447911 1170373811 2964217783 20223986647 47985326251 121532929103 317171302781 13004023414021