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100857687433 is a prime number
BaseRepresentation
bin101110111101110010…
…1100010110110001001
3100122022221112101012221
41131323211202312021
53123024031444213
6114200002134041
710200230124646
oct1357345426611
9318287471187
10100857687433
1139856598398
1217669051321
13968440cab9
144c4ad24dcd
1529546a938d
hex177b962d89

100857687433 has 2 divisors, whose sum is σ = 100857687434. Its totient is φ = 100857687432.

The previous prime is 100857687361. The next prime is 100857687443. The reversal of 100857687433 is 334786758001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92216683584 + 8641003849 = 303672^2 + 92957^2 .

It is an emirp because it is prime and its reverse (334786758001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100857687433 is a prime.

It is a super-2 number, since 2×1008576874332 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100857687443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50428843716 + 50428843717.

It is an arithmetic number, because the mean of its divisors is an integer number (50428843717).

Almost surely, 2100857687433 is an apocalyptic number.

It is an amenable number.

100857687433 is a deficient number, since it is larger than the sum of its proper divisors (1).

100857687433 is an equidigital number, since it uses as much as digits as its factorization.

100857687433 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 100857687433 in words is "one hundred billion, eight hundred fifty-seven million, six hundred eighty-seven thousand, four hundred thirty-three".