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91910000101 = 10129009901
BaseRepresentation
bin101010110011001000…
…0110100110111100101
322210020100212202200211
41111212100310313211
53001212430000401
6110120050135421
76432421052653
oct1254620646745
9283210782624
1091910000101
1135a84887477
1215990581571
13888974775a
14463c849dd3
1525cddb2951
hex1566434de5

91910000101 has 6 divisors (see below), whose sum is σ = 92829020306. Its totient is φ = 90999990000.

The previous prime is 91910000087. The next prime is 91910000137. The reversal of 91910000101 is 10100001919.

It can be written as a sum of positive squares in 3 ways, for example, as 76228449025 + 15681551076 = 276095^2 + 125226^2 .

It is not a de Polignac number, because 91910000101 - 25 = 91910000069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91910000201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4494750 + ... + 4515151.

Almost surely, 291910000101 is an apocalyptic number.

It is an amenable number.

91910000101 is a deficient number, since it is larger than the sum of its proper divisors (919020205).

91910000101 is an equidigital number, since it uses as much as digits as its factorization.

91910000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010103 (or 9010002 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 22.

The spelling of 91910000101 in words is "ninety-one billion, nine hundred ten million, one hundred one", and thus it is an aban number.

Divisors: 1 101 10201 9009901 910000001 91910000101