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20413211516313 = 3711571183184523
BaseRepresentation
bin1001010010000110100100…
…01110001001110110011001
32200021111001210211102221120
410221003102032021312121
510133422224122010223
6111225411102555453
74204543260661110
oct451032216116631
980244053742846
1020413211516313
116560215803160
122358273298b89
13b50c5aa80b45
1450800ccc8c77
15255edb562be3
hex1290d2389d99

20413211516313 has 64 divisors (see below), whose sum is σ = 34012046475264. Its totient is φ = 10579787784000.

The previous prime is 20413211516311. The next prime is 20413211516393. The reversal of 20413211516313 is 31361511231402.

It is not a de Polignac number, because 20413211516313 - 21 = 20413211516311 is a prime.

It is a super-2 number, since 2×204132115163132 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (20413211516311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 241468470 + ... + 241552992.

It is an arithmetic number, because the mean of its divisors is an integer number (531438226176).

Almost surely, 220413211516313 is an apocalyptic number.

It is an amenable number.

20413211516313 is a deficient number, since it is larger than the sum of its proper divisors (13598834958951).

20413211516313 is a wasteful number, since it uses less digits than its factorization.

20413211516313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86946.

The product of its (nonzero) digits is 12960, while the sum is 33.

Adding to 20413211516313 its reverse (31361511231402), we get a palindrome (51774722747715).

The spelling of 20413211516313 in words is "twenty trillion, four hundred thirteen billion, two hundred eleven million, five hundred sixteen thousand, three hundred thirteen".

Divisors: 1 3 7 11 21 33 77 231 571 1713 1831 3997 5493 6281 11991 12817 18843 20141 38451 43967 60423 84523 131901 140987 253569 422961 591661 929753 1045501 1774983 2789259 3136503 6508271 7318507 11500511 19524813 21955521 34501533 48262633 80503577 144787899 154761613 241510731 337838431 464284839 530888963 1013515293 1083331291 1592666889 1702377743 3249993873 3716222741 5107133229 11148668223 11916644201 35749932603 88368881023 265106643069 618582167161 972057691253 1855746501483 2916173073759 6804403838771 20413211516313