Search a number
-
+
131403312034320 = 24351928816515797
BaseRepresentation
bin11101111000001010110111…
…101111000111001000010000
3122020021000220202011212012110
4131320022313233013020100
5114210402440340044240
61143245503113025320
736451401366165324
oct3570126757071020
9566230822155173
10131403312034320
1138961916a69967
12128a2a133b5240
1358423823c5b81
142463d505d7984
15102d17d386c80
hex7782b7bc7210

131403312034320 has 80 divisors (see below), whose sum is σ = 428789755074240. Its totient is φ = 33196626196992.

The previous prime is 131403312034297. The next prime is 131403312034343. The reversal of 131403312034320 is 23430213304131.

It is an interprime number because it is at equal distance from previous prime (131403312034297) and next prime (131403312034343).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 14408253339 + ... + 14408262458.

It is an arithmetic number, because the mean of its divisors is an integer number (5359871938428).

Almost surely, 2131403312034320 is an apocalyptic number.

131403312034320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131403312034320 is an abundant number, since it is smaller than the sum of its proper divisors (297386443039920).

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

131403312034320 is a wasteful number, since it uses less digits than its factorization.

131403312034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28816515832 (or 28816515826 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 131403312034320 its reverse (23430213304131), we get a palindrome (154833525338451).

The spelling of 131403312034320 in words is "one hundred thirty-one trillion, four hundred three billion, three hundred twelve million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 28816515797 57633031594 86449547391 115266063188 144082578985 172899094782 230532126376 288165157970 345798189564 432247736955 461064252752 547513800143 576330315940 691596379128 864495473910 1095027600286 1152660631880 1383192758256 1642541400429 1728990947820 2190055200572 2305321263760 2737569000715 3285082800858 3457981895640 4380110401144 5475138001430 6570165601716 6915963791280 8212707002145 8760220802288 10950276002860 13140331203432 16425414004290 21900552005720 26280662406864 32850828008580 43801104011440 65701656017160 131403312034320