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2131140101232 = 2431091721236681
BaseRepresentation
bin11111000000110001110…
…110010100010001110000
321112201211211002020110110
4133000301312110101300
5234404033331214412
64311010544301320
7306653431654512
oct37006166242160
97481754066413
102131140101232
117518a203493a
122a5042611840
13125c726ba4cc
147520d535bb2
153a680e98d3c
hex1f031d94470

2131140101232 has 80 divisors (see below), whose sum is σ = 5559205750560. Its totient is φ = 703450828800.

The previous prime is 2131140101201. The next prime is 2131140101261. The reversal of 2131140101232 is 2321010411312.

It is a junction number, because it is equal to n+sod(n) for n = 2131140101199 and 2131140101208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8885932 + ... + 9122612.

It is an arithmetic number, because the mean of its divisors is an integer number (69490071882).

Almost surely, 22131140101232 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 2131140101232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779602875280).

2131140101232 is an abundant number, since it is smaller than the sum of its proper divisors (3428065649328).

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

2131140101232 is a wasteful number, since it uses less digits than its factorization.

2131140101232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238522 (or 238516 counting only the distinct ones).

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

Adding to 2131140101232 its reverse (2321010411312), we get a palindrome (4452150512544).

The spelling of 2131140101232 in words is "two trillion, one hundred thirty-one billion, one hundred forty million, one hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 654 872 1308 1721 1744 2616 3442 5163 5232 6884 10326 13768 20652 27536 41304 82608 187589 236681 375178 473362 562767 710043 750356 946724 1125534 1420086 1500712 1893448 2251068 2840172 3001424 3786896 4502136 5680344 9004272 11360688 25798229 51596458 77394687 103192916 154789374 206385832 309578748 407328001 412771664 619157496 814656002 1221984003 1238314992 1629312004 2443968006 3258624008 4887936012 6517248016 9775872024 19551744048 44398752109 88797504218 133196256327 177595008436 266392512654 355190016872 532785025308 710380033744 1065570050616 2131140101232