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131013023202200 = 235219311110858879
BaseRepresentation
bin11101110010011111011000…
…101101010111101110011000
3122011212201111211212221011002
4131302133120231113232120
5114133004132414432300
61142350315120524132
736411243563642156
oct3562373055275630
9564781454787132
10131013023202200
1138821347105747
121283b250480648
135814623987519
14244d0c80903d6
151022e392e65d5
hex7727d8b57b98

131013023202200 has 96 divisors (see below), whose sum is σ = 321668126208000. Its totient is φ = 49487403139200.

The previous prime is 131013023202137. The next prime is 131013023202211. The reversal of 131013023202200 is 2202320310131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54247640 + ... + 56611239.

It is an arithmetic number, because the mean of its divisors is an integer number (3350709648000).

Almost surely, 2131013023202200 is an apocalyptic number.

131013023202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131013023202200 is an abundant number, since it is smaller than the sum of its proper divisors (190655103005800).

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

131013023202200 is a wasteful number, since it uses less digits than its factorization.

131013023202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110859225 (or 110859216 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 131013023202200 its reverse (2202320310131), we get a palindrome (133215343512331).

The spelling of 131013023202200 in words is "one hundred thirty-one trillion, thirteen billion, twenty-three million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 311 380 475 622 760 950 1244 1555 1900 2488 3110 3800 5909 6220 7775 11818 12440 15550 23636 29545 31100 47272 59090 62200 118180 147725 236360 295450 590900 1181800 110858879 221717758 443435516 554294395 886871032 1108588790 2106318701 2217177580 2771471975 4212637402 4434355160 5542943950 8425274804 10531593505 11085887900 16850549608 21063187010 22171775800 34477111369 42126374020 52657967525 68954222738 84252748040 105315935050 137908445476 172385556845 210631870100 275816890952 344771113690 421263740200 655065116011 689542227380 861927784225 1310130232022 1379084454760 1723855568450 2620260464044 3275325580055 3447711136900 5240520928088 6550651160110 6895422273800 13101302320220 16376627900275 26202604640440 32753255800550 65506511601100 131013023202200