Search a number
-
+
10086285100 = 2252372726023
BaseRepresentation
bin10010110010011000…
…00111111100101100
3222000221010101000211
421121030013330230
5131124042110400
64344504032204
7504643003003
oct113114077454
928027111024
1010086285100
114306499311
121b55a62664
13c4983b548
146b97c3c3a
153e0753dba
hex259307f2c

10086285100 has 36 divisors (see below), whose sum is σ = 22478793904. Its totient is φ = 3925471680.

The previous prime is 10086285049. The next prime is 10086285107. The reversal of 10086285100 is 158268001.

10086285100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10086285107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1359312 + ... + 1366711.

Almost surely, 210086285100 is an apocalyptic number.

10086285100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10086285100 is an abundant number, since it is smaller than the sum of its proper divisors (12392508804).

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

10086285100 is a wasteful number, since it uses less digits than its factorization.

10086285100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726074 (or 2726067 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The spelling of 10086285100 in words is "ten billion, eighty-six million, two hundred eighty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 2726023 5452046 10904092 13630115 27260230 54520460 68150575 100862851 136301150 201725702 272602300 403451404 504314255 1008628510 2017257020 2521571275 5043142550 10086285100