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131012202013300 = 225241114571278903
BaseRepresentation
bin11101110010011110100111…
…110000110010001001110100
3122011212122101121200012202101
4131302132213300302021310
5114133000442203411200
61142350101423551444
736411214332645346
oct3562364760621164
9564778347605671
10131012202013300
1138820a65612333
121283b06145b584
1358145227c602a
14244d04adab296
151022ddc18626a
hex7727a7c32274

131012202013300 has 72 divisors (see below), whose sum is σ = 291234124948032. Its totient is φ = 51126083424000.

The previous prime is 131012202013291. The next prime is 131012202013309. The reversal of 131012202013300 is 3310202210131.

It is an interprime number because it is at equal distance from previous prime (131012202013291) and next prime (131012202013309).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012202013309) 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, 469601649 + ... + 469880551.

It is an arithmetic number, because the mean of its divisors is an integer number (4044918402056).

Almost surely, 2131012202013300 is an apocalyptic number.

131012202013300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131012202013300 is an abundant number, since it is smaller than the sum of its proper divisors (160221922934732).

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

131012202013300 is a wasteful number, since it uses less digits than its factorization.

131012202013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393529 (or 393522 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 131012202013300 its reverse (3310202210131), we get a palindrome (134322404223431).

The spelling of 131012202013300 in words is "one hundred thirty-one trillion, twelve billion, two hundred two million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 114571 229142 278903 458284 557806 572855 1115612 1145710 1394515 2291420 2789030 2864275 4697411 5578060 5728550 6972575 9394822 11435023 11457100 13945150 18789644 22870046 23487055 27890300 45740092 46974110 57175115 93948220 114350230 117435275 228700460 234870550 285875575 469741100 571751150 1143502300 31954195613 63908391226 127816782452 159770978065 319541956130 639083912260 798854890325 1310122020133 1597709780650 2620244040266 3195419561300 5240488080532 6550610100665 13101220201330 26202440402660 32753050503325 65506101006650 131012202013300