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125314332 = 2231113103709
BaseRepresentation
bin1110111100000…
…10010100011100
322201210121221120
413132002110130
5224040024312
620233530540
73051103623
oct736022434
9281717846
10125314332
1164811570
1235b73a50
131cc67ac0
14129006ba
15b00528c
hex778251c

125314332 has 96 divisors (see below), whose sum is σ = 347343360. Its totient is φ = 34663680.

The previous prime is 125314309. The next prime is 125314333. The reversal of 125314332 is 233413521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125314333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176394 + ... + 177102.

It is an arithmetic number, because the mean of its divisors is an integer number (3618160).

Almost surely, 2125314332 is an apocalyptic number.

125314332 is a gapful number since it is divisible by the number (12) 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 125314332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173671680).

125314332 is an abundant number, since it is smaller than the sum of its proper divisors (222029028).

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

125314332 is a wasteful number, since it uses less digits than its factorization.

125314332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 841 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 125314332 is about 11194.3884156304. The cubic root of 125314332 is about 500.4187585180.

Adding to 125314332 its reverse (233413521), we get a palindrome (358727853).

The spelling of 125314332 in words is "one hundred twenty-five million, three hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 103 132 143 156 206 286 309 412 429 572 618 709 858 1133 1236 1339 1418 1716 2127 2266 2678 2836 3399 4017 4254 4532 5356 6798 7799 8034 8508 9217 13596 14729 15598 16068 18434 23397 27651 29458 31196 36868 44187 46794 55302 58916 73027 88374 93588 101387 110604 146054 176748 202774 219081 292108 304161 405548 438162 608322 803297 876324 949351 1216644 1606594 1898702 2409891 2848053 3213188 3797404 4819782 5696106 9639564 10442861 11392212 20885722 31328583 41771444 62657166 125314332