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131130213164240 = 24523475189134591
BaseRepresentation
bin11101110100001100100001…
…110001100110010011010000
3122012021221000000110211020112
4131310030201301212103100
5114141414134032223430
61142520215512300452
736422562632121113
oct3564144161462320
9565257000424215
10131130213164240
1138867013856744
1212859ab70a1728
1358226ab93b724
142454a4411c57a
151025ee772d195
hex774321c664d0

131130213164240 has 80 divisors (see below), whose sum is σ = 305068692925440. Its totient is φ = 52419243210240.

The previous prime is 131130213164231. The next prime is 131130213164243. The reversal of 131130213164240 is 42461312031131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 131130213164197 and 131130213164206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131130213164243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 974219345 + ... + 974353935.

It is an arithmetic number, because the mean of its divisors is an integer number (3813358661568).

Almost surely, 2131130213164240 is an apocalyptic number.

131130213164240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131130213164240 is an abundant number, since it is smaller than the sum of its proper divisors (173938479761200).

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

131130213164240 is a wasteful number, since it uses less digits than its factorization.

131130213164240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142140 (or 142134 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

Adding to 131130213164240 its reverse (42461312031131), we get a palindrome (173591525195371).

It can be divided in two parts, 13113021 and 3164240, that added together give a palindrome (16277261).

The spelling of 131130213164240 in words is "one hundred thirty-one trillion, one hundred thirty billion, two hundred thirteen million, one hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2347 4694 5189 9388 10378 11735 18776 20756 23470 25945 37552 41512 46940 51890 83024 93880 103780 134591 187760 207560 269182 415120 538364 672955 1076728 1345910 2153456 2691820 5383640 10767280 12178583 24357166 48714332 60892915 97428664 121785830 194857328 243571660 315885077 487143320 631770154 698392699 974286640 1263540308 1396785398 1579425385 2527080616 2793570796 3158850770 3491963495 5054161232 5587141592 6317701540 6983926990 11174283184 12635403080 13967853980 25270806160 27935707960 55871415920 1639127664553 3278255329106 6556510658212 8195638322765 13113021316424 16391276645530 26226042632848 32782553291060 65565106582120 131130213164240