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10125230240 = 2555310711159
BaseRepresentation
bin10010110111000001…
…01100000010100000
3222010122101222201102
421123200230002200
5131214024331430
64352414453532
7505625015456
oct113340540240
928118358642
1010125230240
114326479384
121b66b042a8
13c54925bc8
146c0a409d6
153e3d98345
hex25b82c0a0

10125230240 has 96 divisors (see below), whose sum is σ = 24602175360. Its totient is φ = 3936185344.

The previous prime is 10125230239. The next prime is 10125230287. The reversal of 10125230240 is 4203252101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 901781 + ... + 912939.

It is an arithmetic number, because the mean of its divisors is an integer number (256272660).

Almost surely, 210125230240 is an apocalyptic number.

10125230240 is a gapful number since it is divisible by the number (10) 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 10125230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12301087680).

10125230240 is an abundant number, since it is smaller than the sum of its proper divisors (14476945120).

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

10125230240 is a wasteful number, since it uses less digits than its factorization.

10125230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11334 (or 11326 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 10125230240 its reverse (4203252101), we get a palindrome (14328482341).

The spelling of 10125230240 in words is "ten billion, one hundred twenty-five million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 107 160 212 214 265 424 428 530 535 848 856 1060 1070 1696 1712 2120 2140 3424 4240 4280 5671 8480 8560 11159 11342 17120 22318 22684 28355 44636 45368 55795 56710 89272 90736 111590 113420 178544 181472 223180 226840 357088 446360 453680 591427 892720 907360 1182854 1194013 1785440 2365708 2388026 2957135 4731416 4776052 5914270 5970065 9462832 9552104 11828540 11940130 18925664 19104208 23657080 23880260 38208416 47314160 47760520 63282689 94628320 95521040 126565378 191042080 253130756 316413445 506261512 632826890 1012523024 1265653780 2025046048 2531307560 5062615120 10125230240