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116665100 = 225210111551
BaseRepresentation
bin1101111010000…
…10101100001100
322010112012102122
412331002230030
5214331240400
615324312112
72614431326
oct675025414
9263465378
10116665100
115a944242
12330a2638
131b22a006
14116cc616
15a397685
hex6f42b0c

116665100 has 36 divisors (see below), whose sum is σ = 255691968. Its totient is φ = 46200000.

The previous prime is 116665097. The next prime is 116665147. The reversal of 116665100 is 1566611.

It is a super-2 number, since 2×1166651002 = 27221491116020000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 116665100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4325 + ... + 15875.

Almost surely, 2116665100 is an apocalyptic number.

116665100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116665100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127845984).

116665100 is an abundant number, since it is smaller than the sum of its proper divisors (139026868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116665100 is a wasteful number, since it uses less digits than its factorization.

116665100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11666 (or 11659 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 116665100 is about 10801.1619745285. The cubic root of 116665100 is about 488.6302157379.

It can be divided in two parts, 1166 and 65100, that added together give a palindrome (66266).

The spelling of 116665100 in words is "one hundred sixteen million, six hundred sixty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 11551 23102 46204 57755 115510 231020 288775 577550 1155100 1166651 2333302 4666604 5833255 11666510 23333020 29166275 58332550 116665100