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10100010983 = 337202914771
BaseRepresentation
bin10010110100000000…
…11110111111100111
3222001212221201101212
421122000132333213
5131141100322413
64350114142035
7505200451106
oct113200367747
928055851355
1010100010983
114313213817
121b5a58191b
13c4c635c7a
146bb55803d
153e1a65ca8
hex25a01efe7

10100010983 has 8 divisors (see below), whose sum is σ = 10135660080. Its totient is φ = 10064396160.

The previous prime is 10100010979. The next prime is 10100011001. The reversal of 10100010983 is 38901000101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10100010983 - 22 = 10100010979 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 (10100012983) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 676388 + ... + 691158.

It is an arithmetic number, because the mean of its divisors is an integer number (1266957510).

Almost surely, 210100010983 is an apocalyptic number.

10100010983 is a deficient number, since it is larger than the sum of its proper divisors (35649097).

10100010983 is a wasteful number, since it uses less digits than its factorization.

10100010983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17137.

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 10100010983 in words is "ten billion, one hundred million, ten thousand, nine hundred eighty-three".

Divisors: 1 337 2029 14771 683773 4977827 29970359 10100010983