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10100300232 = 2331157167003
BaseRepresentation
bin10010110100000011…
…00101100111001000
3222001220111102011210
421122001211213020
5131141134101412
64350124253120
7505203064311
oct113201454710
928056442153
1010100300232
1143133a1070
121b5a6a11a0
13c4c707819
146bb5d1608
153e1ac183c
hex25a0659c8

10100300232 has 64 divisors (see below), whose sum is σ = 27594927360. Its totient is φ = 3055291200.

The previous prime is 10100300213. The next prime is 10100300233. The reversal of 10100300232 is 23200300101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10100300233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117243 + ... + 184245.

It is an arithmetic number, because the mean of its divisors is an integer number (431170740).

Almost surely, 210100300232 is an apocalyptic number.

10100300232 is a gapful number since it is divisible by the number (12) 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 10100300232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13797463680).

10100300232 is an abundant number, since it is smaller than the sum of its proper divisors (17494627128).

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

10100300232 is a wasteful number, since it uses less digits than its factorization.

10100300232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67594 (or 67590 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10100300232 its reverse (23200300101), we get a palindrome (33300600333).

The spelling of 10100300232 in words is "ten billion, one hundred million, three hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 571 1142 1713 2284 3426 4568 6281 6852 12562 13704 18843 25124 37686 50248 67003 75372 134006 150744 201009 268012 402018 536024 737033 804036 1474066 1608072 2211099 2948132 4422198 5896264 8844396 17688792 38258713 76517426 114776139 153034852 229552278 306069704 420845843 459104556 841691686 918209112 1262537529 1683383372 2525075058 3366766744 5050150116 10100300232