Search a number
-
+
101116944 = 2433234067
BaseRepresentation
bin1100000011011…
…10110000010000
321001021021101000
412001232300100
5201341220234
614011142000
72335323405
oct601566020
9231237330
10101116944
1152094725
1229a44900
1317c45016
14d6022ac
158d25899
hex606ec10

101116944 has 40 divisors (see below), whose sum is σ = 290244320. Its totient is φ = 33705504.

The previous prime is 101116933. The next prime is 101116963. The reversal of 101116944 is 449611101.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116602 + ... + 117465.

It is an arithmetic number, because the mean of its divisors is an integer number (7256108).

Almost surely, 2101116944 is an apocalyptic number.

It is an amenable number.

101116944 is an abundant number, since it is smaller than the sum of its proper divisors (189127376).

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

101116944 is a wasteful number, since it uses less digits than its factorization.

101116944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234084 (or 234072 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 101116944 is about 10055.6921193919. The cubic root of 101116944 is about 465.8806205035.

It can be divided in two parts, 1011 and 16944, that added together give a triangular number (17955 = T189).

The spelling of 101116944 in words is "one hundred one million, one hundred sixteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 234067 468134 702201 936268 1404402 1872536 2106603 2808804 3745072 4213206 5617608 6319809 8426412 11235216 12639618 16852824 25279236 33705648 50558472 101116944