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10344314130 = 2354713156003
BaseRepresentation
bin10011010001001000…
…11011010100010010
3222200220122121022120
421220210123110102
5132141121023010
64430242315110
7514225135143
oct115044332422
928626577276
1010344314130
114429106347
122008358a96
13c8b132647
14701b8daca
15408221e70
hex26891b512

10344314130 has 64 divisors (see below), whose sum is σ = 25548576768. Its totient is φ = 2679135680.

The previous prime is 10344314129. The next prime is 10344314209. The reversal of 10344314130 is 3141344301.

It is a self number, because there is not a number n which added to its sum of digits gives 10344314130.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156709 + ... + 212711.

It is an arithmetic number, because the mean of its divisors is an integer number (399196512).

Almost surely, 210344314130 is an apocalyptic number.

10344314130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10344314130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12774288384).

10344314130 is an abundant number, since it is smaller than the sum of its proper divisors (15204262638).

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

10344314130 is a wasteful number, since it uses less digits than its factorization.

10344314130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56191.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10344314130 its reverse (3141344301), we get a palindrome (13485658431).

The spelling of 10344314130 in words is "ten billion, three hundred forty-four million, three hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 131 141 235 262 282 393 470 655 705 786 1310 1410 1965 3930 6157 12314 18471 30785 36942 56003 61570 92355 112006 168009 184710 280015 336018 560030 840045 1680090 2632141 5264282 7336393 7896423 13160705 14672786 15792846 22009179 26321410 36681965 39482115 44018358 73363930 78964230 110045895 220091790 344810471 689620942 1034431413 1724052355 2068862826 3448104710 5172157065 10344314130