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101835500131 is a prime number
BaseRepresentation
bin101111011010111011…
…1100110101001100011
3100201212002110102002001
41132311313212221203
53132024342001011
6114441012104431
710233402316561
oct1366567465143
9321762412061
10101835500131
113a208537562
12178a0605117
1397abb7c0b1
144d00b38a31
1529b04567c1
hex17b5de6a63

101835500131 has 2 divisors, whose sum is σ = 101835500132. Its totient is φ = 101835500130.

The previous prime is 101835500099. The next prime is 101835500183. The reversal of 101835500131 is 131005538101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101835500131 - 25 = 101835500099 is a prime.

It is a super-2 number, since 2×1018355001312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101835500131.

It is not a weakly prime, because it can be changed into another prime (101835500191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50917750065 + 50917750066.

It is an arithmetic number, because the mean of its divisors is an integer number (50917750066).

Almost surely, 2101835500131 is an apocalyptic number.

101835500131 is a deficient number, since it is larger than the sum of its proper divisors (1).

101835500131 is an equidigital number, since it uses as much as digits as its factorization.

101835500131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 28.

The spelling of 101835500131 in words is "one hundred one billion, eight hundred thirty-five million, five hundred thousand, one hundred thirty-one".