Search a number
-
+
10134130314 = 2372114337237
BaseRepresentation
bin10010111000000101…
…01000111010001010
3222011021011011022210
421130002220322022
5131223314132224
64353333325550
7506063454300
oct113402507212
928137134283
1010134130314
1143304a8110
121b69a968b6
13c56720c19
146c1cba270
153e4a55429
hex25c0a8e8a

10134130314 has 96 divisors (see below), whose sum is σ = 25783724736. Its totient is φ = 2625799680.

The previous prime is 10134130309. The next prime is 10134130327. The reversal of 10134130314 is 41303143101.

It is a super-2 number, since 2×101341303142 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1396704 + ... + 1403940.

It is an arithmetic number, because the mean of its divisors is an integer number (268580466).

Almost surely, 210134130314 is an apocalyptic number.

10134130314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10134130314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12891862368).

10134130314 is an abundant number, since it is smaller than the sum of its proper divisors (15649594422).

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

10134130314 is a wasteful number, since it uses less digits than its factorization.

10134130314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7700 (or 7693 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10134130314 its reverse (41303143101), we get a palindrome (51437273415).

The spelling of 10134130314 in words is "ten billion, one hundred thirty-four million, one hundred thirty thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 433 462 539 866 1078 1299 1617 2598 3031 3234 4763 6062 7237 9093 9526 14289 14474 18186 21217 21711 28578 33341 42434 43422 50659 63651 66682 79607 100023 101318 127302 151977 159214 200046 233387 238821 303954 354613 466774 477642 557249 700161 709226 1063839 1114498 1400322 1671747 2127678 3133621 3343494 3900743 6267242 7801486 9400863 11702229 18801726 21935347 23404458 34469831 43870694 65806041 68939662 103409493 131612082 153547429 206818986 241288817 307094858 460642287 482577634 723866451 921284574 1447732902 1689021719 3378043438 5067065157 10134130314