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213133010032200 = 233521918695878073
BaseRepresentation
bin110000011101011111100101…
…010110100101011001001000
31000221122022112220222022101210
4300131133211112211121020
5210413432401032012300
62033143541512413120
762615231450601516
oct6035374526453110
91027568486868353
10213133010032200
1161a02224884995
121baa27319a71a0
1391c048360675b
143a8b99abad4b6
15199912a961050
hexc1d7e55a5648

213133010032200 has 96 divisors (see below), whose sum is σ = 695486664352800. Its totient is φ = 53844128847360.

The previous prime is 213133010032193. The next prime is 213133010032237. The reversal of 213133010032200 is 2230010331312.

213133010032200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 9347927637 + ... + 9347950436.

It is an arithmetic number, because the mean of its divisors is an integer number (7244652753675).

Almost surely, 2213133010032200 is an apocalyptic number.

213133010032200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213133010032200 is an abundant number, since it is smaller than the sum of its proper divisors (482353654320600).

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

213133010032200 is a wasteful number, since it uses less digits than its factorization.

213133010032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18695878111 (or 18695878102 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 213133010032200 its reverse (2230010331312), we get a palindrome (215363020363512).

The spelling of 213133010032200 in words is "two hundred thirteen trillion, one hundred thirty-three billion, ten million, thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 18695878073 37391756146 56087634219 74783512292 93479390365 112175268438 149567024584 186958780730 224350536876 280438171095 355221683387 373917561460 448701073752 467396951825 560876342190 710443366774 747835122920 934793903650 1065665050161 1121752684380 1402190855475 1420886733548 1776108416935 1869587807300 2131330100322 2243505368760 2804381710950 2841773467096 3552216833870 3739175614600 4262660200644 5328325250805 5608763421900 7104433667740 8525320401288 8880542084675 10656650501610 11217526843800 14208867335480 17761084169350 21313301003220 26641626254025 35522168338700 42626602006440 53283252508050 71044336677400 106566505016100 213133010032200