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213110010204 = 2237131607121441
BaseRepresentation
bin1100011001111001011…
…0001011000101011100
3202101002000002012120220
43012132112023011130
511442422130311304
6241522411041340
721253031125050
oct3063626130534
9671060065526
10213110010204
118241a054983
1235376140250
131713342aa70
14a4592c5c60
1558243a6ad9
hex319e58b15c

213110010204 has 96 divisors (see below), whose sum is σ = 612394116096. Its totient is φ = 56169400320.

The previous prime is 213110010193. The next prime is 213110010227. The reversal of 213110010204 is 402010011312.

213110010204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 1694124 + ... + 1815564.

It is an arithmetic number, because the mean of its divisors is an integer number (6379105376).

Almost surely, 2213110010204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213110010204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306197058048).

213110010204 is an abundant number, since it is smaller than the sum of its proper divisors (399284105892).

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

213110010204 is a wasteful number, since it uses less digits than its factorization.

213110010204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123075 (or 123073 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 213110010204 its reverse (402010011312), we get a palindrome (615120021516).

The spelling of 213110010204 in words is "two hundred thirteen billion, one hundred ten million, ten thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 1607 3214 4821 6428 9642 11249 19284 20891 22498 33747 41782 44996 62673 67494 83564 121441 125346 134988 146237 242882 250692 292474 364323 438711 485764 584948 728646 850087 877422 1457292 1578733 1700174 1754844 2550261 3157466 3400348 4736199 5100522 6314932 9472398 10201044 11051131 18944796 22102262 33153393 44204524 66306786 132613572 195155687 390311374 585467061 780622748 1170934122 1366089809 2341868244 2537023931 2732179618 4098269427 5074047862 5464359236 7611071793 8196538854 10148095724 15222143586 16393077708 17759167517 30444287172 35518335034 53277502551 71036670068 106555005102 213110010204