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10005130660 = 2257210209317
BaseRepresentation
bin10010101000101101…
…00010110110100100
3221211021102022001211
421110112202312210
5130442303140120
64332444401204
7502636131100
oct112426426644
927737368054
1010005130660
1142746a9828
121b32846204
13c35a95875
146acada900
153d857325a
hex2545a2da4

10005130660 has 36 divisors (see below), whose sum is σ = 24441107292. Its totient is φ = 3430330176.

The previous prime is 10005130631. The next prime is 10005130693. The reversal of 10005130660 is 6603150001.

It can be written as a sum of positive squares in 2 ways, for example, as 6825072996 + 3180057664 = 82614^2 + 56392^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5103679 + ... + 5105638.

It is an arithmetic number, because the mean of its divisors is an integer number (678919647).

Almost surely, 210005130660 is an apocalyptic number.

10005130660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005130660 is an abundant number, since it is smaller than the sum of its proper divisors (14435976632).

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

10005130660 is a wasteful number, since it uses less digits than its factorization.

10005130660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10209340 (or 10209331 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 10005130660 its reverse (6603150001), we get a palindrome (16608280661).

The spelling of 10005130660 in words is "ten billion, five million, one hundred thirty thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 10209317 20418634 40837268 51046585 71465219 102093170 142930438 204186340 285860876 357326095 500256533 714652190 1000513066 1429304380 2001026132 2501282665 5002565330 10005130660