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131500304251320 = 23357315979399781
BaseRepresentation
bin11101111001100101001100…
…111011000011100110111000
3122020121022021022010222211210
4131321211030323003212320
5114214000110342020240
61143402223352523120
736461404061344224
oct3571451473034670
9566538238128753
10131500304251320
1138999a695a9094
12128b97819b04a0
13584b56ba27654
142468911dc7784
1510309584e1780
hex77994cec39b8

131500304251320 has 128 divisors (see below), whose sum is σ = 400155487583040. Its totient is φ = 34564720619520.

The previous prime is 131500304251289. The next prime is 131500304251367. The reversal of 131500304251320 is 23152403005131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9289830 + ... + 18689610.

Almost surely, 2131500304251320 is an apocalyptic number.

131500304251320 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 131500304251320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200077743791520).

131500304251320 is an abundant number, since it is smaller than the sum of its proper divisors (268655183331720).

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

131500304251320 is a wasteful number, since it uses less digits than its factorization.

131500304251320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9401465 (or 9401461 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 131500304251320 its reverse (23152403005131), we get a palindrome (154652707256451).

The spelling of 131500304251320 in words is "one hundred thirty-one trillion, five hundred billion, three hundred four million, two hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1597 1752 2190 2920 3194 4380 4791 6388 7985 8760 9582 12776 15970 19164 23955 31940 38328 47910 63880 95820 116581 191640 233162 349743 466324 582905 699486 932648 1165810 1398972 1748715 2331620 2797944 3497430 4663240 6994860 9399781 13989720 18799562 28199343 37599124 46998905 56398686 75198248 93997810 112797372 140996715 187995620 225594744 281993430 375991240 563986860 686184013 1127973720 1372368026 2058552039 2744736052 3430920065 4117104078 5489472104 6861840130 8234208156 10292760195 13723680260 15011450257 16468416312 20585520390 27447360520 30022900514 41171040780 45034350771 60045801028 75057251285 82342081560 90068701542 120091602056 150114502570 180137403084 225171753855 300229005140 360274806168 450343507710 600458010280 900687015420 1095835868761 1801374030840 2191671737522 3287507606283 4383343475044 5479179343805 6575015212566 8766686950088 10958358687610 13150030425132 16437538031415 21916717375220 26300060850264 32875076062830 43833434750440 65750152125660 131500304251320