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10125332140 = 2257117390067
BaseRepresentation
bin10010110111000010…
…00100111010101100
3222010122121011111111
421123201010322230
5131214041112030
64352421001404
7505625621530
oct113341047254
928118534444
1010125332140
1143265389a0
121b66b53264
13c549603c1
146c0a69bc0
153e3db862a
hex25b844eac

10125332140 has 96 divisors (see below), whose sum is σ = 26873409024. Its totient is φ = 3112680960.

The previous prime is 10125332089. The next prime is 10125332167. The reversal of 10125332140 is 4123352101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 67387 + ... + 157453.

It is an arithmetic number, because the mean of its divisors is an integer number (279931344).

Almost surely, 210125332140 is an apocalyptic number.

10125332140 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 10125332140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13436704512).

10125332140 is an abundant number, since it is smaller than the sum of its proper divisors (16748076884).

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

10125332140 is a wasteful number, since it uses less digits than its factorization.

10125332140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90167 (or 90165 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 10125332140 its reverse (4123352101), we get a palindrome (14248684241).

The spelling of 10125332140 in words is "ten billion, one hundred twenty-five million, three hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 73 77 110 140 146 154 220 292 308 365 385 511 730 770 803 1022 1460 1540 1606 2044 2555 3212 4015 5110 5621 8030 10220 11242 16060 22484 28105 56210 90067 112420 180134 360268 450335 630469 900670 990737 1260938 1801340 1981474 2521876 3152345 3962948 4953685 6304690 6574891 6935159 9907370 12609380 13149782 13870318 19814740 26299564 27740636 32874455 34675795 46024237 65748910 69351590 72323801 92048474 131497820 138703180 144647602 184096948 230121185 289295204 361619005 460242370 506266607 723238010 920484740 1012533214 1446476020 2025066428 2531333035 5062666070 10125332140