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102213301003229 = 13174317960088817
BaseRepresentation
bin10111001111011001100011…
…011111110110001111011101
3111101220111101200122001000102
4113033121203133312033131
5101344130320024100404
61001220050420310445
730346444612230353
oct2717314337661735
9441814350561012
10102213301003229
112a6284657a2809
12b569757842425
13450589955a7a0
141b352160a37d3
15bc3c087ce71e
hex5cf6637f63dd

102213301003229 has 32 divisors (see below), whose sum is σ = 119927666517120. Its totient is φ = 86251005775872.

The previous prime is 102213301003223. The next prime is 102213301003243. The reversal of 102213301003229 is 922300103312201.

It is a cyclic number.

It is not a de Polignac number, because 102213301003229 - 232 = 102209006035933 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213301003223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28343372 + ... + 31745445.

It is an arithmetic number, because the mean of its divisors is an integer number (3747739578660).

Almost surely, 2102213301003229 is an apocalyptic number.

It is an amenable number.

102213301003229 is a deficient number, since it is larger than the sum of its proper divisors (17714365513891).

102213301003229 is a wasteful number, since it uses less digits than its factorization.

102213301003229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60089069.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 102213301003229 in words is "one hundred two trillion, two hundred thirteen billion, three hundred one million, three thousand, two hundred twenty-nine".

Divisors: 1 13 17 43 179 221 559 731 2327 3043 7697 9503 39559 100061 130849 1701037 60088817 781154621 1021509889 2583819131 10755898243 13279628557 33589648703 43924925227 139826677159 182850270131 462503624449 571024027951 2377053511703 6012547117837 7862561615633 102213301003229