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2131122012132 = 22319233261715329
BaseRepresentation
bin11111000000110000110…
…001010011111111100100
321112201210120001012212210
4133000300301103333210
5234404014213342012
64311005100443420
7306653122134561
oct37006061237744
97481716035783
102131122012132
117518928aa273
122a5038549570
13125c6ba25ab9
147520ad87868
153a67e5c423c
hex1f030c53fe4

2131122012132 has 96 divisors (see below), whose sum is σ = 5259151497600. Its totient is φ = 669797793792.

The previous prime is 2131122012127. The next prime is 2131122012259. The reversal of 2131122012132 is 2312102211312.

It is a junction number, because it is equal to n+sod(n) for n = 2131122012099 and 2131122012108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139017844 + ... + 139033172.

It is an arithmetic number, because the mean of its divisors is an integer number (54782828100).

Almost surely, 22131122012132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131122012132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629575748800).

2131122012132 is an abundant number, since it is smaller than the sum of its proper divisors (3128029485468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2131122012132 is a wasteful number, since it uses less digits than its factorization.

2131122012132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18205 (or 18203 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 2131122012132 its reverse (2312102211312), we get a palindrome (4443224223444).

The spelling of 2131122012132 in words is "two trillion, one hundred thirty-one billion, one hundred twenty-two million, twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 233 466 699 932 1398 2617 2796 4427 5234 7851 8854 10468 13281 15329 15702 17708 26562 30658 31404 45987 49723 53124 61316 91974 99446 149169 183948 198892 291251 298338 582502 596676 609761 873753 1165004 1219522 1747506 1829283 2439044 3495012 3571657 3658566 7143314 7317132 10714971 11585459 14286628 21429942 23170918 34756377 40115993 42859884 46341836 67861483 69512754 80231986 120347979 135722966 139025508 160463972 203584449 240695958 271445932 407168898 481391916 762203867 814337796 1524407734 2286611601 3048815468 4573223202 9146446404 9347026369 18694052738 28041079107 37388105476 56082158214 112164316428 177593501011 355187002022 532780503033 710374004044 1065561006066 2131122012132