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213314741325 = 3452749130649
BaseRepresentation
bin1100011010101010001…
…1001010010001001101
3202101121021022121220000
43012222203022101031
511443332033210300
6241555003114513
721261065245560
oct3065243122115
9671537277800
10213314741325
1182514679454
1235412812a39
131716698063a
14a47857a4d7
155837347c00
hex31aa8ca44d

213314741325 has 120 divisors (see below), whose sum is σ = 452514638400. Its totient is φ = 97313529600.

The previous prime is 213314741317. The next prime is 213314741389. The reversal of 213314741325 is 523147413312.

213314741325 is a `hidden beast` number, since 2 + 13 + 314 + 7 + 4 + 1 + 325 = 666.

It is not a de Polignac number, because 213314741325 - 23 = 213314741317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213314741325.

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 6944601 + ... + 6975249.

It is an arithmetic number, because the mean of its divisors is an integer number (3770955320).

Almost surely, 2213314741325 is an apocalyptic number.

213314741325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213314741325 is an abundant number, since it is smaller than the sum of its proper divisors (239199897075).

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

213314741325 is a wasteful number, since it uses less digits than its factorization.

213314741325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31169 (or 31155 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The spelling of 213314741325 in words is "two hundred thirteen billion, three hundred fourteen million, seven hundred forty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 225 315 405 491 525 567 675 945 1473 1575 2025 2455 2835 3437 4419 4725 7365 10311 12275 13257 14175 17185 22095 30649 30933 36825 39771 51555 66285 85925 91947 92799 110475 153245 154665 198855 214543 257775 275841 278397 331425 459735 463995 643629 766225 773325 827523 994275 1072715 1379205 1391985 1930887 2298675 2319975 2482569 3218145 4137615 5363575 5792661 6896025 6959925 9654435 12412845 15048659 16090725 17377983 20688075 28963305 45145977 48272175 62064225 75243295 86889915 105340613 135437931 144816525 225729885 316021839 376216475 406313793 434449575 526703065 677189655 948065517 1128649425 1218941379 1580109195 2031568965 2633515325 2844196551 3385948275 4740327585 6094706895 7900545975 8532589653 10157844825 14220982755 23701637925 30473534475 42662948265 71104913775 213314741325