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213019795641 = 33127768312107
BaseRepresentation
bin1100011001100011111…
…0000010000010111001
3202100211201022211110210
43012120332002002321
511442231031430031
6241505425301333
721250554246612
oct3063076020271
9670751284423
10213019795641
1182383137394
123534ba94849
131711a832273
14a44b320c09
15581b4d6746
hex3198f820b9

213019795641 has 32 divisors (see below), whose sum is σ = 294702133248. Its totient is φ = 136724195520.

The previous prime is 213019795627. The next prime is 213019795663. The reversal of 213019795641 is 146597910312.

It is not a de Polignac number, because 213019795641 - 217 = 213019664569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213019791641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17588710 + ... + 17600816.

It is an arithmetic number, because the mean of its divisors is an integer number (9209441664).

Almost surely, 2213019795641 is an apocalyptic number.

It is an amenable number.

213019795641 is a deficient number, since it is larger than the sum of its proper divisors (81682337607).

213019795641 is a wasteful number, since it uses less digits than its factorization.

213019795641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13101.

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 213019795641 in words is "two hundred thirteen billion, nineteen million, seven hundred ninety-five thousand, six hundred forty-one".

Divisors: 1 3 31 93 277 683 831 2049 8587 12107 21173 25761 36321 63519 189191 375317 567573 1125951 3353639 5864921 8269081 10060917 17594763 24807243 103962809 256341511 311888427 769024533 2290535437 6871606311 71006598547 213019795641