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213204220100 = 22522392697487
BaseRepresentation
bin1100011010001111110…
…1100011100011000100
3202101022120100120021022
43012203331203203010
511443120240020400
6241540014210312
721255253653344
oct3064375434304
9671276316238
10213204220100
11824682511a3
12353a17b3998
1317149ac4c71
14a467a0ad24
15582c7b5b85
hex31a3f638c4

213204220100 has 36 divisors (see below), whose sum is σ = 482768517504. Its totient is φ = 81573787680.

The previous prime is 213204219983. The next prime is 213204220127. The reversal of 213204220100 is 1022402312.

213204220100 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46346444 + ... + 46351043.

Almost surely, 2213204220100 is an apocalyptic number.

213204220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213204220100 is an abundant number, since it is smaller than the sum of its proper divisors (269564297404).

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

213204220100 is a wasteful number, since it uses less digits than its factorization.

213204220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92697524 (or 92697517 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 213204220100 its reverse (1022402312), we get a palindrome (214226622412).

The spelling of 213204220100 in words is "two hundred thirteen billion, two hundred four million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 92697487 185394974 370789948 463487435 926974870 1853949740 2132042201 2317437175 4264084402 4634874350 8528168804 9269748700 10660211005 21320422010 42640844020 53301055025 106602110050 213204220100