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131302011120 = 24357211165137
BaseRepresentation
bin111101001001000110…
…1011011000011110000
3110112220122220021002220
41322102031123003300
54122401303323440
6140152545441040
712325533452100
oct1722215330360
9415818807086
10131302011120
1150759620385
1221544940180
13c4c6865007
1464d8391200
1536372ee8d0
hex1e9235b0f0

131302011120 has 120 divisors (see below), whose sum is σ = 473491172304. Its totient is φ = 30011885568.

The previous prime is 131302011109. The next prime is 131302011167. The reversal of 131302011120 is 21110203131.

It is a happy number.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131302011120.

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, 5570809 + ... + 5594328.

Almost surely, 2131302011120 is an apocalyptic number.

131302011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131302011120 is an abundant number, since it is smaller than the sum of its proper divisors (342189161184).

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

131302011120 is a wasteful number, since it uses less digits than its factorization.

131302011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11165167 (or 11165154 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131302011120 its reverse (21110203131), we get a palindrome (152412214251).

The spelling of 131302011120 in words is "one hundred thirty-one billion, three hundred two million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 11165137 22330274 33495411 44660548 55825685 66990822 78155959 89321096 111651370 133981644 156311918 167477055 178642192 223302740 234467877 267963288 312623836 334954110 390779795 446605480 468935754 535926576 547091713 625247672 669908220 781559590 893210960 937871508 1094183426 1172339385 1250495344 1339816440 1563119180 1641275139 1875743016 2188366852 2344678770 2679632880 2735458565 3126238360 3282550278 3751486032 4376733704 4689357540 5470917130 6252476720 6565100556 8206375695 8753467408 9378715080 10941834260 13130201112 16412751390 18757430160 21883668520 26260402224 32825502780 43767337040 65651005560 131302011120