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10100344324 = 22746191699
BaseRepresentation
bin10010110100000011…
…10000011000000100
3222001220120122122211
421122001300120010
5131141142004244
64350125233204
7505203340000
oct113201603004
928056518584
1010100344324
114313421204
121b5a702804
13c4c721905
146bb603700
153e1ace934
hex25a070604

10100344324 has 60 divisors (see below), whose sum is σ = 20665778000. Its totient is φ = 4319182224.

The previous prime is 10100344307. The next prime is 10100344327. The reversal of 10100344324 is 42344300101.

It is a junction number, because it is equal to n+sod(n) for n = 10100344295 and 10100344304.

It is not an unprimeable number, because it can be changed into a prime (10100344327) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 5944027 + ... + 5945725.

Almost surely, 210100344324 is an apocalyptic number.

10100344324 is a gapful number since it is divisible by the number (14) 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 10100344324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10332889000).

10100344324 is an abundant number, since it is smaller than the sum of its proper divisors (10565433676).

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

10100344324 is an equidigital number, since it uses as much as digits as its factorization.

10100344324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10100344324 its reverse (42344300101), we get a palindrome (52444644425).

The spelling of 10100344324 in words is "ten billion, one hundred million, three hundred forty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 196 343 619 686 1238 1372 1699 2401 2476 3398 4333 4802 6796 8666 9604 11893 17332 23786 30331 47572 60662 83251 121324 166502 212317 333004 424634 582757 849268 1051681 1165514 1486219 2103362 2331028 2972438 4079299 4206724 5944876 7361767 8158598 14723534 16317196 29447068 51532369 103064738 206129476 360726583 721453166 1442906332 2525086081 5050172162 10100344324