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2131331032110 = 2357411471168281
BaseRepresentation
bin11111000000111101001…
…110101010010000101110
321112202100010100112101110
4133000331032222100232
5234404431221011420
64311041524452450
7306661240600350
oct37007516522056
97482303315343
102131331032110
1175198a893055
122a509654a126
13125ca311a867
147522aa370d0
153a692b10ee0
hex1f03d3aa42e

2131331032110 has 128 divisors (see below), whose sum is σ = 5992627027968. Its totient is φ = 474953472000.

The previous prime is 2131331032093. The next prime is 2131331032111. The reversal of 2131331032110 is 112301331312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131331032111) 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, 12581170 + ... + 12749450.

It is an arithmetic number, because the mean of its divisors is an integer number (46817398656).

Almost surely, 22131331032110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131331032110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996313513984).

2131331032110 is an abundant number, since it is smaller than the sum of its proper divisors (3861295995858).

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

2131331032110 is a wasteful number, since it uses less digits than its factorization.

2131331032110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169810.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 2131331032110 its reverse (112301331312), we get a palindrome (2243632363422).

The spelling of 2131331032110 in words is "two trillion, one hundred thirty-one billion, three hundred thirty-one million, thirty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 287 410 574 615 861 1230 1435 1471 1722 2870 2942 4305 4413 7355 8610 8826 10297 14710 20594 22065 30891 44130 51485 60311 61782 102970 120622 154455 168281 180933 301555 308910 336562 361866 422177 504843 603110 841405 844354 904665 1009686 1177967 1266531 1682810 1809330 2110885 2355934 2524215 2533062 3533901 4221770 5048430 5889835 6332655 6899521 7067802 11779670 12665310 13799042 17669505 20698563 34497605 35339010 41397126 48296647 68995210 96593294 103492815 144889941 206985630 241483235 247541351 289779882 482966470 495082702 724449705 742624053 1237706755 1448899410 1485248106 1732789457 2475413510 3465578914 3713120265 5198368371 7426240530 8663947285 10149195391 10396736742 17327894570 20298390782 25991841855 30447586173 50745976955 51983683710 60895172346 71044367737 101491953910 142088735474 152237930865 213133103211 304475861730 355221838685 426266206422 710443677370 1065665516055 2131331032110