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10100033249 is a prime number
BaseRepresentation
bin10010110100000001…
…00100011011100001
3222001212222211221112
421122000210123201
5131141102030444
64350114433105
7505200603035
oct113200443341
928055884845
1010100033249
114313229519
121b5a592795
13c4c643147
146bb5621c5
153e1a6c69e
hex25a0246e1

10100033249 has 2 divisors, whose sum is σ = 10100033250. Its totient is φ = 10100033248.

The previous prime is 10100033239. The next prime is 10100033257. The reversal of 10100033249 is 94233000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6495231649 + 3604801600 = 80593^2 + 60040^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100033249 - 220 = 10098984673 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100033239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050016624 + 5050016625.

It is an arithmetic number, because the mean of its divisors is an integer number (5050016625).

Almost surely, 210100033249 is an apocalyptic number.

It is an amenable number.

10100033249 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100033249 is an equidigital number, since it uses as much as digits as its factorization.

10100033249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

The spelling of 10100033249 in words is "ten billion, one hundred million, thirty-three thousand, two hundred forty-nine".