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131213302200 = 233252605312043
BaseRepresentation
bin111101000110011101…
…1000001100110111000
3110112200110222101100100
41322030323001212320
54122211101132300
6140140100235400
712323405444361
oct1721473014670
9415613871310
10131213302200
1150713541022
122151b09bb60
13c4b1375926
1464ca69cb68
15362e62a700
hex1e8cec19b8

131213302200 has 144 divisors (see below), whose sum is σ = 440767402920. Its totient is φ = 34981528320.

The previous prime is 131213302159. The next prime is 131213302223. The reversal of 131213302200 is 2203312131.

131213302200 is a `hidden beast` number, since 1 + 312 + 1 + 330 + 2 + 20 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10889379 + ... + 10901421.

Almost surely, 2131213302200 is an apocalyptic number.

131213302200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131213302200 is an abundant number, since it is smaller than the sum of its proper divisors (309554100720).

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

131213302200 is a wasteful number, since it uses less digits than its factorization.

131213302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18118 (or 18106 counting only the distinct ones).

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

Adding to 131213302200 its reverse (2203312131), we get a palindrome (133416614331).

The spelling of 131213302200 in words is "one hundred thirty-one billion, two hundred thirteen million, three hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 6053 12043 12106 18159 24086 24212 30265 36129 36318 48172 48424 54477 60215 60530 72258 72636 90795 96344 108387 108954 120430 121060 144516 145272 151325 180645 181590 216774 217908 240860 242120 272385 289032 301075 302650 361290 363180 433548 435816 453975 481720 541935 544770 602150 605300 722580 726360 867096 903225 907950 1083870 1089540 1204300 1210600 1361925 1445160 1806450 1815900 2167740 2179080 2408600 2709675 2723850 3612900 3631800 4335480 5419350 5447700 7225800 10838700 10895400 21677400 72896279 145792558 218688837 291585116 364481395 437377674 583170232 656066511 728962790 874755348 1093444185 1312133022 1457925580 1749510696 1822406975 2186888370 2624266044 2915851160 3280332555 3644813950 4373776740 5248532088 5467220925 6560665110 7289627900 8747553480 10934441850 13121330220 14579255800 16401662775 21868883700 26242660440 32803325550 43737767400 65606651100 131213302200