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20311233100405 = 51323110727726161
BaseRepresentation
bin1001001111001000100111…
…10101010111101001110101
32122220201211202110011021121
410213210103311113221311
510130234401133203110
6111110503543343541
74164303201515152
oct447442365275165
978821752404247
1020311233100405
116520a44632995
122340552a51bb1
13b44458413500
145030d71cb229
1525351d7cacda
hex127913d57a75

20311233100405 has 96 divisors (see below), whose sum is σ = 27598902432768. Its totient is φ = 14327107891200.

The previous prime is 20311233100397. The next prime is 20311233100453. The reversal of 20311233100405 is 50400133211302.

It is a happy number.

It is not a de Polignac number, because 20311233100405 - 23 = 20311233100397 is a prime.

It is a super-2 number, since 2×203112331004052 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20311233100405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 776380525 + ... + 776406685.

It is an arithmetic number, because the mean of its divisors is an integer number (287488567008).

Almost surely, 220311233100405 is an apocalyptic number.

It is an amenable number.

20311233100405 is a deficient number, since it is larger than the sum of its proper divisors (7287669332363).

20311233100405 is a wasteful number, since it uses less digits than its factorization.

20311233100405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26607 (or 26594 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 20311233100405 its reverse (50400133211302), we get a palindrome (70711366311707).

The spelling of 20311233100405 in words is "twenty trillion, three hundred eleven billion, two hundred thirty-three million, one hundred thousand, four hundred five".

Divisors: 1 5 13 31 65 107 155 169 277 403 535 845 1385 1391 2015 3317 3601 5239 6955 8587 16585 18005 18083 26161 26195 29639 42935 43121 46813 90415 111631 130805 148195 215605 234065 340093 385307 558155 560573 810991 918809 1451203 1700465 1926535 2799227 2802865 4054955 4421209 4594045 5008991 7246597 7256015 10542883 11944517 13996135 22106045 25044955 36232985 36389951 52714415 59722585 86776037 94205761 137057479 155278721 181949755 224644507 433880185 471028805 473069363 685287395 775385879 776393605 1123222535 1128088481 1224674893 2365346815 2920378591 3876929395 5640442405 6123374465 10080016427 14601892955 14665150253 24036962249 37964921683 50400082135 73325751265 120184811245 131040213551 189824608415 312480509237 655201067755 1562402546185 4062246620081 20311233100405