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10200312324 = 22321785919403
BaseRepresentation
bin10010111111111110…
…00110101000000100
3222022212200112222100
421133333012220010
5131342234443244
64404100032100
7510526136616
oct113777065004
928285615870
1010200312324
1143648a0694
121b88092630
13c67353987
146ca9c6db6
153ea779b69
hex25ffc6a04

10200312324 has 72 divisors (see below), whose sum is σ = 27334026720. Its totient is φ = 3196207872.

The previous prime is 10200312259. The next prime is 10200312371. The reversal of 10200312324 is 42321300201.

10200312324 is a `hidden beast` number, since 10 + 20 + 0 + 312 + 324 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10200312297 and 10200312306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 516007 + ... + 535409.

It is an arithmetic number, because the mean of its divisors is an integer number (379639260).

Almost surely, 210200312324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10200312324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13667013360).

10200312324 is an abundant number, since it is smaller than the sum of its proper divisors (17133714396).

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

10200312324 is a wasteful number, since it uses less digits than its factorization.

10200312324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20289 (or 20284 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10200312324 its reverse (42321300201), we get a palindrome (52521612525).

The spelling of 10200312324 in words is "ten billion, two hundred million, three hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 859 1718 2577 3436 5154 7731 10308 14603 15462 19403 29206 30924 38806 43809 58209 58412 77612 87618 116418 131427 174627 175236 232836 262854 329851 349254 525708 659702 698508 989553 1319404 1979106 2968659 3958212 5937318 11874636 16667177 33334354 50001531 66668708 100003062 150004593 200006124 283342009 300009186 566684018 600018372 850026027 1133368036 1700052054 2550078081 3400104108 5100156162 10200312324