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100213010309 is a prime number
BaseRepresentation
bin101110101010100101…
…0010010111110000101
3100120200000110101110102
41131111022102332011
53120214012312214
6114012012333445
710145241350546
oct1352512227605
9316600411412
10100213010309
11395556a4985
1217509174285
1395b09a0849
144bc946c4cd
152917cb3bde
hex1755292f85

100213010309 has 2 divisors, whose sum is σ = 100213010310. Its totient is φ = 100213010308.

The previous prime is 100213010237. The next prime is 100213010321. The reversal of 100213010309 is 903010312001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92130460900 + 8082549409 = 303530^2 + 89903^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100213010309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100213010329) 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 as a sum of consecutive naturals, namely, 50106505154 + 50106505155.

It is an arithmetic number, because the mean of its divisors is an integer number (50106505155).

Almost surely, 2100213010309 is an apocalyptic number.

It is an amenable number.

100213010309 is a deficient number, since it is larger than the sum of its proper divisors (1).

100213010309 is an equidigital number, since it uses as much as digits as its factorization.

100213010309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

The spelling of 100213010309 in words is "one hundred billion, two hundred thirteen million, ten thousand, three hundred nine".