Search a number
-
+
100918493 = 131012761
BaseRepresentation
bin1100000001111…
…10010011011101
321000220012010222
412000332103131
5201313342433
614003011125
72333536004
oct600762335
9230805128
10100918493
1151a69615
1229969aa5
1317ba58b0
14d58dc3b
158cd6b98
hex603e4dd

100918493 has 12 divisors (see below), whose sum is σ = 109912404. Its totient is φ = 92112000.

The previous prime is 100918487. The next prime is 100918523. The reversal of 100918493 is 394819001.

It can be written as a sum of positive squares in 6 ways, for example, as 56644 + 100861849 = 238^2 + 10043^2 .

It is not a de Polignac number, because 100918493 - 26 = 100918429 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 (100918403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132233 + ... + 132993.

It is an arithmetic number, because the mean of its divisors is an integer number (9159367).

Almost surely, 2100918493 is an apocalyptic number.

100918493 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100918493 is a deficient number, since it is larger than the sum of its proper divisors (8993911).

100918493 is an equidigital number, since it uses as much as digits as its factorization.

100918493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 100918493 is about 10045.8196778561. The cubic root of 100918493 is about 465.5756435109.

The spelling of 100918493 in words is "one hundred million, nine hundred eighteen thousand, four hundred ninety-three".

Divisors: 1 13 101 761 1313 9893 10201 76861 132613 999193 7762961 100918493