Search a number
-
+
102361100 = 22522833617
BaseRepresentation
bin1100001100111…
…10100000001100
321010121111000212
412012132200030
5202201023400
614053541552
72352024602
oct606364014
9233544025
10102361100
1152864456
122a3448b8
131828c3ca
14d847872
158ebe335
hex619e80c

102361100 has 36 divisors (see below), whose sum is σ = 222970104. Its totient is φ = 40788480.

The previous prime is 102361087. The next prime is 102361139. The reversal of 102361100 is 1163201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26492 + ... + 30108.

It is an arithmetic number, because the mean of its divisors is an integer number (6193614).

Almost surely, 2102361100 is an apocalyptic number.

102361100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102361100 is an abundant number, since it is smaller than the sum of its proper divisors (120609004).

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

102361100 is a wasteful number, since it uses less digits than its factorization.

102361100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914 (or 3907 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 102361100 is about 10117.3662580733. The cubic root of 102361100 is about 467.7835887931.

The spelling of 102361100 in words is "one hundred two million, three hundred sixty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 283 566 1132 1415 2830 3617 5660 7075 7234 14150 14468 18085 28300 36170 72340 90425 180850 361700 1023611 2047222 4094444 5118055 10236110 20472220 25590275 51180550 102361100