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125051130 = 232510113757
BaseRepresentation
bin1110111010000…
…10000011111010
322201022020220100
413131002003322
5224003114010
620224140230
73045626361
oct735020372
9281266810
10125051130
1164651846
1235a67676
131cba5069
14128727d8
15aea22c0
hex77420fa

125051130 has 48 divisors (see below), whose sum is σ = 328375944. Its totient is φ = 33014400.

The previous prime is 125051123. The next prime is 125051131. The reversal of 125051130 is 31150521.

125051130 is a `hidden beast` number, since 125 + 0 + 511 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 100340289 + 24710841 = 10017^2 + 4971^2 .

It is a super-2 number, since 2×1250511302 = 31275570228553800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (125051131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2212 + ... + 15968.

Almost surely, 2125051130 is an apocalyptic number.

125051130 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 125051130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164187972).

125051130 is an abundant number, since it is smaller than the sum of its proper divisors (203324814).

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

125051130 is a wasteful number, since it uses less digits than its factorization.

125051130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13871 (or 13868 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 125051130 is about 11182.6262568325. The cubic root of 125051130 is about 500.0681640402.

The spelling of 125051130 in words is "one hundred twenty-five million, fifty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 13757 27514 41271 68785 82542 123813 137570 206355 247626 412710 619065 1238130 1389457 2778914 4168371 6947285 8336742 12505113 13894570 20841855 25010226 41683710 62525565 125051130