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100127834431 is a prime number
BaseRepresentation
bin101110101000000010…
…1011000000100111111
3100120110002012000010021
41131100011120010333
53120030211200211
6113555330553011
710143155356432
oct1352005300477
9316402160107
10100127834431
1139511608a99
12174a4738767
13959914a611
144bbc019819
15291058b771
hex175015813f

100127834431 has 2 divisors, whose sum is σ = 100127834432. Its totient is φ = 100127834430.

The previous prime is 100127834407. The next prime is 100127834441. The reversal of 100127834431 is 134438721001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100127834431 - 29 = 100127833919 is a prime.

It is a super-2 number, since 2×1001278344312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100127834441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50063917215 + 50063917216.

It is an arithmetic number, because the mean of its divisors is an integer number (50063917216).

Almost surely, 2100127834431 is an apocalyptic number.

100127834431 is a deficient number, since it is larger than the sum of its proper divisors (1).

100127834431 is an equidigital number, since it uses as much as digits as its factorization.

100127834431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 100127834431 in words is "one hundred billion, one hundred twenty-seven million, eight hundred thirty-four thousand, four hundred thirty-one".