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131102101200 = 24352715607393
BaseRepresentation
bin111101000011001001…
…0110100111011010000
3110112101201201210020210
41322012102310323100
54121444114214300
6140121045004120
712320555321250
oct1720622647320
9415351653223
10131102101200
115066679a074
12214a99b3640
13c49430ca15
1464b99d3960
1536249b2050
hex1e864b4ed0

131102101200 has 120 divisors (see below), whose sum is σ = 479958580288. Its totient is φ = 29966192640.

The previous prime is 131102101199. The next prime is 131102101201. The reversal of 131102101200 is 2101201131.

It is an interprime number because it is at equal distance from previous prime (131102101199) and next prime (131102101201).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131102101201) 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, 7795297 + ... + 7812096.

Almost surely, 2131102101200 is an apocalyptic number.

131102101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131102101200 is an abundant number, since it is smaller than the sum of its proper divisors (348856479088).

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

131102101200 is a wasteful number, since it uses less digits than its factorization.

131102101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15607421 (or 15607410 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 131102101200 its reverse (2101201131), we get a palindrome (133203302331).

The spelling of 131102101200 in words is "one hundred thirty-one billion, one hundred two million, one hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 15607393 31214786 46822179 62429572 78036965 93644358 109251751 124859144 156073930 187288716 218503502 234110895 249718288 312147860 327755253 374577432 390184825 437007004 468221790 546258755 624295720 655510506 749154864 780369650 874014008 936443580 1092517510 1170554475 1248591440 1311021012 1560739300 1638776265 1748028016 1872887160 2185035020 2341108950 2622042024 2731293775 3121478600 3277552530 3745774320 4370070040 4682217900 5244084048 5462587550 6242957200 6555105060 8193881325 8740140080 9364435800 10925175100 13110210120 16387762650 18728871600 21850350200 26220420240 32775525300 43700700400 65551050600 131102101200