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112132203103131 = 31722379508114009
BaseRepresentation
bin11001011111101111010000…
…001000100100001110011011
3112201000201211000212010001020
4121133233100020210032123
5104144133222443300011
61034252453432053523
732422166345044311
oct3137572010441633
9481021730763036
10112132203103131
113280200040a0a2
12106abb7bb342a3
134a75037c87273
141d993287040b1
15ce6c38b85006
hex65fbd022439b

112132203103131 has 96 divisors (see below), whose sum is σ = 167869729843200. Its totient is φ = 66428742082560.

The previous prime is 112132203103127. The next prime is 112132203103157. The reversal of 112132203103131 is 131301302231211.

112132203103131 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 112132203103131 - 22 = 112132203103127 is a prime.

It is a super-2 number, since 2×1121322031031312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112132203103111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8004290455 + ... + 8004304463.

It is an arithmetic number, because the mean of its divisors is an integer number (1748643019200).

Almost surely, 2112132203103131 is an apocalyptic number.

112132203103131 is a deficient number, since it is larger than the sum of its proper divisors (55737526740069).

112132203103131 is a wasteful number, since it uses less digits than its factorization.

112132203103131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19229 (or 19212 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 112132203103131 its reverse (131301302231211), we get a palindrome (243433505334342).

The spelling of 112132203103131 in words is "one hundred twelve trillion, one hundred thirty-two billion, two hundred three million, one hundred three thousand, one hundred thirty-one".

Divisors: 1 3 17 23 51 69 79 237 289 391 867 1173 1343 1817 4029 5081 5451 6647 14009 15243 19941 22831 30889 42027 68493 86377 92667 116863 238153 259131 322207 350589 401399 525113 714459 966621 1106711 1204197 1468409 1575339 1986671 3320133 4048601 4405227 5477519 5960013 6823783 9232177 12145803 16432557 18814087 20471349 25454353 27696531 33773407 56442261 71179729 76363059 93117823 101320221 116004311 156947009 213539187 279353469 319839479 348012933 432724001 470841027 959518437 1210055393 1298172003 1637133767 2668099153 3630166179 4911401301 5623198591 7356308017 8004297459 16869595773 20570941681 22068924051 27831274039 61712825043 83493822117 95594376047 129333567593 286783128141 388000702779 473131658663 1419394975989 1625104392799 2198670649081 4875313178397 6596011947243 37377401034377 112132203103131