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213131302200 = 233252118406279
BaseRepresentation
bin1100011001111110011…
…1011001010100111000
3202101010111010221201100
43012133213121110320
511442443103132300
6241524451251400
721253410114615
oct3063747312470
9671114127640
10213131302200
1182430077973
12353812a9b60
131713797428b
14a45c06950c
1558261b0700
hex319f9d9538

213131302200 has 72 divisors (see below), whose sum is σ = 715765962600. Its totient is φ = 56835013440.

The previous prime is 213131302171. The next prime is 213131302229. The reversal of 213131302200 is 2203131312.

213131302200 is a `hidden beast` number, since 2 + 1 + 313 + 130 + 220 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (213131302171) and next prime (213131302229).

It is a tau number, because it is divible by the number of its divisors (72).

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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 59201340 + ... + 59204939.

It is an arithmetic number, because the mean of its divisors is an integer number (9941193925).

Almost surely, 2213131302200 is an apocalyptic number.

213131302200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213131302200 is an abundant number, since it is smaller than the sum of its proper divisors (502634660400).

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

213131302200 is a wasteful number, since it uses less digits than its factorization.

213131302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118406301 (or 118406289 counting only the distinct ones).

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

Adding to 213131302200 its reverse (2203131312), we get a palindrome (215334433512).

The spelling of 213131302200 in words is "two hundred thirteen billion, one hundred thirty-one 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 118406279 236812558 355218837 473625116 592031395 710437674 947250232 1065656511 1184062790 1420875348 1776094185 2131313022 2368125580 2841750696 2960156975 3552188370 4262626044 4736251160 5328282555 5920313950 7104376740 8525252088 8880470925 10656565110 11840627900 14208753480 17760941850 21313130220 23681255800 26641412775 35521883700 42626260440 53282825550 71043767400 106565651100 213131302200