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131011141020144 = 24371135446737289
BaseRepresentation
bin11101110010011101101000…
…100001011010100111110000
3122011212112122200020011202120
4131302131220201122213300
5114132441304100121034
61142345404243114240
736411146130443010
oct3562355041324760
9564775580204676
10131011141020144
113882057071a490
121283aa06072980
1358143b3a51b28
14244cd8a103c40
151022d78e57c49
hex77276885a9f0

131011141020144 has 80 divisors (see below), whose sum is σ = 421957960700160. Its totient is φ = 34028867796480.

The previous prime is 131011141020131. The next prime is 131011141020187. The reversal of 131011141020144 is 441020141110131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 17723364949 + ... + 17723372340.

It is an arithmetic number, because the mean of its divisors is an integer number (5274474508752).

Almost surely, 2131011141020144 is an apocalyptic number.

131011141020144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131011141020144 is an abundant number, since it is smaller than the sum of its proper divisors (290946819680016).

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

131011141020144 is a wasteful number, since it uses less digits than its factorization.

131011141020144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35446737318 (or 35446737312 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 131011141020144 its reverse (441020141110131), we get a palindrome (572031282130275).

The spelling of 131011141020144 in words is "one hundred thirty-one trillion, eleven billion, one hundred forty-one million, twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 35446737289 70893474578 106340211867 141786949156 212680423734 248127161023 283573898312 389914110179 425360847468 496254322046 567147796624 744381483069 779828220358 850721694936 992508644092 1169742330537 1488762966138 1559656440716 1701443389872 1985017288184 2339484661074 2729398771253 2977525932276 3119312881432 3970034576368 4678969322148 5458797542506 5955051864552 6238625762864 8188196313759 9357938644296 10917595085012 11910103729104 16376392627518 18715877288592 21835190170024 32752785255036 43670380340048 65505570510072 131011141020144