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131202133311340 = 225713478315071939
BaseRepresentation
bin11101110101001111100000…
…100011001011111101101100
3122012112210122020220211202101
4131311033200203023331230
5114144103432111430330
61143013232234504444
736431020113231220
oct3565174043137554
9565483566824671
10131202133311340
113889456a904743
121286ba28b95124
135829400b21ca0
142458307b64780
151027d066cb4ca
hex7753e08cbf6c

131202133311340 has 96 divisors (see below), whose sum is σ = 339177973155840. Its totient is φ = 41514628329216.

The previous prime is 131202133311331. The next prime is 131202133311367. The reversal of 131202133311340 is 43113331202131.

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 = 131202133311299 and 131202133311308.

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, 1169091 + ... + 16241029.

It is an arithmetic number, because the mean of its divisors is an integer number (3533103887040).

Almost surely, 2131202133311340 is an apocalyptic number.

131202133311340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131202133311340 is an abundant number, since it is smaller than the sum of its proper divisors (207975839844500).

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

131202133311340 is a wasteful number, since it uses less digits than its factorization.

131202133311340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15076751 (or 15076749 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 131202133311340 its reverse (43113331202131), we get a palindrome (174315464513471).

The spelling of 131202133311340 in words is "one hundred thirty-one trillion, two hundred two billion, one hundred thirty-three million, three hundred eleven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 4783 9566 19132 23915 33481 47830 62179 66962 95660 124358 133924 167405 248716 310895 334810 435253 621790 669620 870506 1243580 1741012 2176265 4352530 8705060 15071939 30143878 60287756 75359695 105503573 150719390 195935207 211007146 301438780 391870414 422014292 527517865 783740828 979676035 1055035730 1371546449 1959352070 2110071460 2743092898 3918704140 5486185796 6857732245 13715464490 27430928980 72089084237 144178168474 288356336948 360445421185 504623589659 720890842370 937158095081 1009247179318 1441781684740 1874316190162 2018494358636 2523117948295 3748632380324 4685790475405 5046235896590 6560106665567 9371580950810 10092471793180 13120213331134 18743161901620 26240426662268 32800533327835 65601066655670 131202133311340