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10100033257 is a prime number
BaseRepresentation
bin10010110100000001…
…00100011011101001
3222001212222211221211
421122000210123221
5131141102031012
64350114433121
7505200603046
oct113200443351
928055884854
1010100033257
114313229526
121b5a5927a1
13c4c643152
146bb5621cd
153e1a6c6a7
hex25a0246e9

10100033257 has 2 divisors, whose sum is σ = 10100033258. Its totient is φ = 10100033256.

The previous prime is 10100033249. The next prime is 10100033291. The reversal of 10100033257 is 75233000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6989628816 + 3110404441 = 83604^2 + 55771^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100033257 - 23 = 10100033249 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100034257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050016628 + 5050016629.

It is an arithmetic number, because the mean of its divisors is an integer number (5050016629).

Almost surely, 210100033257 is an apocalyptic number.

It is an amenable number.

10100033257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100033257 is an equidigital number, since it uses as much as digits as its factorization.

10100033257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 630, while the sum is 22.

Adding to 10100033257 its reverse (75233000101), we get a palindrome (85333033358).

The spelling of 10100033257 in words is "ten billion, one hundred million, thirty-three thousand, two hundred fifty-seven".