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213130322202 = 23753103192867
BaseRepresentation
bin1100011001111110001…
…1101010000100011010
3202101010102022011102010
43012133203222010122
511442442330302302
6241524414250350
721253365563520
oct3063743520432
9671112264363
10213130322202
118242a568656
1235380ab69b6
13171376c01b5
14a45bc92310
15582606a16c
hex319f8ea11a

213130322202 has 64 divisors (see below), whose sum is σ = 496833398784. Its totient is φ = 59686835520.

The previous prime is 213130322177. The next prime is 213130322219. The reversal of 213130322202 is 202223031312.

It is a happy number.

213130322202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 2248573 + ... + 2341439.

It is an arithmetic number, because the mean of its divisors is an integer number (7763021856).

Almost surely, 2213130322202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213130322202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248416699392).

213130322202 is an abundant number, since it is smaller than the sum of its proper divisors (283703076582).

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

213130322202 is a wasteful number, since it uses less digits than its factorization.

213130322202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93963.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 213130322202 its reverse (202223031312), we get a palindrome (415353353514).

The spelling of 213130322202 in words is "two hundred thirteen billion, one hundred thirty million, three hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 42 53 106 159 318 371 742 1031 1113 2062 2226 3093 6186 7217 14434 21651 43302 54643 92867 109286 163929 185734 278601 327858 382501 557202 650069 765002 1147503 1300138 1950207 2295006 3900414 4921951 9843902 14765853 29531706 34453657 68907314 95745877 103360971 191491754 206721942 287237631 574475262 670221139 1340442278 2010663417 4021326834 5074531481 10149062962 15223594443 30447188886 35521720367 71043440734 106565161101 213130322202