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125325330 = 235132191301
BaseRepresentation
bin1110111100001…
…01000000010010
322201211012000220
413132011000102
5224040402310
620234053510
73051150654
oct736050022
9281735026
10125325330
1164819859
1235b7a296
131cc6cb00
14129046d4
15b008670
hex7785012

125325330 has 96 divisors (see below), whose sum is σ = 343103040. Its totient is φ = 29203200.

The previous prime is 125325307. The next prime is 125325383. The reversal of 125325330 is 33523521.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 125325330.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95680 + ... + 96980.

It is an arithmetic number, because the mean of its divisors is an integer number (3573990).

Almost surely, 2125325330 is an apocalyptic number.

125325330 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 125325330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171551520).

125325330 is an abundant number, since it is smaller than the sum of its proper divisors (217777710).

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

125325330 is a wasteful number, since it uses less digits than its factorization.

125325330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 125325330 is about 11194.8796331180. The cubic root of 125325330 is about 500.4333975579.

Adding to 125325330 its reverse (33523521), we get a palindrome (158848851).

The spelling of 125325330 in words is "one hundred twenty-five million, three hundred twenty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 169 190 195 247 285 338 390 494 507 570 741 845 1014 1235 1301 1482 1690 2470 2535 2602 3211 3705 3903 5070 6422 6505 7410 7806 9633 13010 16055 16913 19266 19515 24719 32110 33826 39030 48165 49438 50739 74157 84565 96330 101478 123595 148314 169130 219869 247190 253695 321347 370785 439738 507390 642694 659607 741570 964041 1099345 1319214 1606735 1928082 2198690 3213470 3298035 4177511 4820205 6596070 8355022 9640410 12532533 20887555 25065066 41775110 62662665 125325330