Search a number
-
+
131201142111132 = 223178310567580301
BaseRepresentation
bin11101110101001110100101…
…011110000011101110011100
3122012112201002011210122200120
4131311032211132003232130
5114144044414340024012
61143012550025554540
736430653416200542
oct3565164536035634
9565481064718616
10131201142111132
1138894101351315
121286b7b1045a50
1358292a36762a2
142458252267d92
151027c9968758c
hex7753a5783b9c

131201142111132 has 48 divisors (see below), whose sum is σ = 306337210486272. Its totient is φ = 43704974174400.

The previous prime is 131201142111077. The next prime is 131201142111167. The reversal of 131201142111132 is 231111241102131.

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, 225801382 + ... + 226381682.

It is an arithmetic number, because the mean of its divisors is an integer number (6382025218464).

Almost surely, 2131201142111132 is an apocalyptic number.

131201142111132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131201142111132 is an abundant number, since it is smaller than the sum of its proper divisors (175136068375140).

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

131201142111132 is a wasteful number, since it uses less digits than its factorization.

131201142111132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592658 (or 592656 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 131201142111132 its reverse (231111241102131), we get a palindrome (362312383213263).

The spelling of 131201142111132 in words is "one hundred thirty-one trillion, two hundred one billion, one hundred forty-two million, one hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 1783 3566 5349 7132 10567 10698 21134 21396 31701 42268 63402 126804 580301 1160602 1740903 2321204 3481806 6963612 18840961 37681922 56522883 75363844 113045766 226091532 1034676683 2069353366 3104030049 4138706732 6132040667 6208060098 12264081334 12416120196 18396122001 24528162668 36792244002 73584488004 10933428509261 21866857018522 32800285527783 43733714037044 65600571055566 131201142111132