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131303122013196 = 223272917967039137
BaseRepresentation
bin11101110110101101100011…
…111100100000110000001100
3122012220110022022222102222100
4131312231203330200300030
5114202232243213410241
61143131453241115100
736441223524103350
oct3566554374406014
9565813268872870
10131303122013196
1138923383347111
1212887511a88a90
135835aa64141c3
14245d168231460
15102a7676149b6
hex776b63f20c0c

131303122013196 has 72 divisors (see below), whose sum is σ = 392400134773920. Its totient is φ = 36221550898176.

The previous prime is 131303122013191. The next prime is 131303122013221. The reversal of 131303122013196 is 691310221303131.

131303122013196 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 312 + 20 + 1 + 319 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 131303122013196.

It is not an unprimeable number, because it can be changed into a prime (131303122013191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8983512261 + ... + 8983526876.

It is an arithmetic number, because the mean of its divisors is an integer number (5450001871860).

Almost surely, 2131303122013196 is an apocalyptic number.

It is an amenable number.

131303122013196 is an abundant number, since it is smaller than the sum of its proper divisors (261097012760724).

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

131303122013196 is a wasteful number, since it uses less digits than its factorization.

131303122013196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17967039183 (or 17967039178 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 131303122013196 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred twenty-two million, thirteen thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 3654 7308 17967039137 35934078274 53901117411 71868156548 107802234822 125769273959 161703352233 215604469644 251538547918 323406704466 377307821877 503077095836 521044134973 646813408932 754615643754 1042088269946 1131923465631 1509231287508 1563132404919 2084176539892 2263846931262 3126264809838 3647308944811 4527693862524 4689397214757 6252529619676 7294617889622 9378794429514 10941926834433 14589235779244 18757588859028 21883853668866 32825780503299 43767707337732 65651561006598 131303122013196