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100107049993 is a prime number
BaseRepresentation
bin101110100111011011…
…0000101110000001001
3100120101122002001020021
41131032312011300021
53120004401044433
6113553305300441
710142513612416
oct1351666056011
9316348061207
10100107049993
1139500902375
1217499794721
139594a51132
144bb936910d
15290d83322d
hex174ed85c09

100107049993 has 2 divisors, whose sum is σ = 100107049994. Its totient is φ = 100107049992.

The previous prime is 100107049979. The next prime is 100107050023. The reversal of 100107049993 is 399940701001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72925922304 + 27181127689 = 270048^2 + 164867^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100107049993 is a prime.

It is not a weakly prime, because it can be changed into another prime (100107049943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50053524996 + 50053524997.

It is an arithmetic number, because the mean of its divisors is an integer number (50053524997).

Almost surely, 2100107049993 is an apocalyptic number.

It is an amenable number.

100107049993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100107049993 is an equidigital number, since it uses as much as digits as its factorization.

100107049993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 61236, while the sum is 43.

The spelling of 100107049993 in words is "one hundred billion, one hundred seven million, forty-nine thousand, nine hundred ninety-three".