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131031234320140 = 225721167011813913
BaseRepresentation
bin11101110010110000010110…
…001011010001011100001100
3122011221110112000022120112201
4131302300112023101130030
5114133303431441221030
61142402530144211244
736412460064615400
oct3562602613213414
9564843460276481
10131031234320140
1138829041884140
1212842893309b24
13581626686575b
14244dd34955100
151023652ea32ca
hex772c162d170c

131031234320140 has 144 divisors (see below), whose sum is σ = 349242033569184. Its totient is φ = 40834786944000.

The previous prime is 131031234320111. The next prime is 131031234320177. The reversal of 131031234320140 is 41023432130131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 131031234320099 and 131031234320108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71329824 + ... + 73143736.

It is an arithmetic number, because the mean of its divisors is an integer number (2425291899786).

Almost surely, 2131031234320140 is an apocalyptic number.

131031234320140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131031234320140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174621016784592).

131031234320140 is an abundant number, since it is smaller than the sum of its proper divisors (218210799249044).

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

131031234320140 is a wasteful number, since it uses less digits than its factorization.

131031234320140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820648 (or 1820639 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 131031234320140 its reverse (41023432130131), we get a palindrome (172054666450271).

The spelling of 131031234320140 in words is "one hundred thirty-one trillion, thirty-one billion, two hundred thirty-four million, three hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 5390 6701 10780 13402 26804 33505 46907 67010 73711 93814 134020 147422 187628 234535 294844 328349 368555 469070 515977 656698 737110 938140 1031954 1313396 1474220 1641745 1813913 2063908 2579885 3283490 3611839 3627826 5159770 6566980 7223678 7255652 9069565 10319540 12697391 14447356 18059195 18139130 19953043 25394782 36118390 36278260 39906086 50789564 63486955 72236780 79812172 88881737 99765215 126973910 139671301 177763474 199530430 253947820 279342602 355526948 399060860 444408685 558685204 698356505 888817370 977699107 1396713010 1777634740 1955398214 2793426020 3910796428 4888495535 9776991070 12155031013 19553982140 24310062026 48620124052 60775155065 85085217091 121550310130 133705341143 170170434182 243100620260 267410682286 340340868364 425426085455 534821364572 595596519637 668526705715 850852170910 935937388001 1191193039274 1337053411430 1701704341820 1871874776002 2382386078548 2674106822860 2977982598185 3743749552004 4679686940005 5955965196370 6551561716007 9359373880010 11911930392740 13103123432014 18718747760020 26206246864028 32757808580035 65515617160070 131031234320140