Search a number
-
+
131020323432124 = 22727392412137501
BaseRepresentation
bin11101110010100110001011…
…110101100010011010111100
3122011220102100121120000222011
4131302212023311202122330
5114133114110244311444
61142353523342101004
736411622516606300
oct3562461365423274
9564812317500864
10131020323432124
1138824452980515
121284074927a764
13581521823bab9
14244d5bb83dd00
151023215167734
hex77298bd626bc

131020323432124 has 72 divisors (see below), whose sum is σ = 267099059023440. Its totient is φ = 56071764000000.

The previous prime is 131020323432101. The next prime is 131020323432127. The reversal of 131020323432124 is 421234323020131.

131020323432124 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131020323432127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3493763374 + ... + 3493800874.

Almost surely, 2131020323432124 is an apocalyptic number.

131020323432124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131020323432124 is an abundant number, since it is smaller than the sum of its proper divisors (136078735591316).

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

131020323432124 is a wasteful number, since it uses less digits than its factorization.

131020323432124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62379 (or 62370 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 131020323432124 its reverse (421234323020131), we get a palindrome (552254646452255).

The spelling of 131020323432124 in words is "one hundred thirty-one trillion, twenty billion, three hundred twenty-three million, four hundred thirty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 196 739 1478 2956 5173 10346 20692 24121 36211 37501 48242 72422 75002 96484 144844 150004 168847 262507 337694 525014 675388 1050028 1181929 1837549 2363858 3675098 4727716 7350196 17825419 27713239 35650838 55426478 71301676 110852956 124777933 193992673 249555866 387985346 499111732 775970692 873445531 904561621 1357948711 1746891062 1809123242 2715897422 3493782124 3618246484 5431794844 6331931347 12663862694 25327725388 44323519429 88647038858 177294077716 668471037919 1336942075838 2673884151676 4679297265433 9358594530866 18717189061732 32755080858031 65510161716062 131020323432124