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131300231220 = 2232529139180959
BaseRepresentation
bin111101001001000011…
…0101000100000110100
3110112220112112211112200
41322102012220200310
54122400324344340
6140152443344500
712325512356634
oct1722206504064
9415815484480
10131300231220
1150758615094
1221544222130
13c4c6390b12
1464d804a6c4
15363709c330
hex1e921a8834

131300231220 has 144 divisors (see below), whose sum is σ = 414977472000. Its totient is φ = 33562642176.

The previous prime is 131300231213. The next prime is 131300231239. The reversal of 131300231220 is 22132003131.

131300231220 is a `hidden beast` number, since 1 + 31 + 300 + 2 + 312 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131300231193 and 131300231202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 635101 + ... + 816059.

It is an arithmetic number, because the mean of its divisors is an integer number (2881788000).

Almost surely, 2131300231220 is an apocalyptic number.

131300231220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131300231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207488736000).

131300231220 is an abundant number, since it is smaller than the sum of its proper divisors (283677240780).

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

131300231220 is a wasteful number, since it uses less digits than its factorization.

131300231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181142 (or 181137 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131300231220 its reverse (22132003131), we get a palindrome (153432234351).

The spelling of 131300231220 in words is "one hundred thirty-one billion, three hundred million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 139 145 174 180 261 278 290 348 417 435 522 556 580 695 834 870 1044 1251 1305 1390 1668 1740 2085 2502 2610 2780 4031 4170 5004 5220 6255 8062 8340 12093 12510 16124 20155 24186 25020 36279 40310 48372 60465 72558 80620 120930 145116 180959 181395 241860 361918 362790 542877 723836 725580 904795 1085754 1628631 1809590 2171508 2714385 3257262 3619180 5247811 5428770 6514524 8143155 10495622 10857540 15743433 16286310 20991244 25153301 26239055 31486866 32572620 47230299 50306602 52478110 62973732 75459903 78717165 94460598 100613204 104956220 125766505 150919806 157434330 188921196 226379709 236151495 251533010 301839612 314868660 377299515 452759418 472302990 503066020 729445729 754599030 905518836 944605980 1131898545 1458891458 1509198060 2188337187 2263797090 2917782916 3647228645 4376674374 4527594180 6565011561 7294457290 8753348748 10941685935 13130023122 14588914580 21883371870 26260046244 32825057805 43766743740 65650115610 131300231220