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130314252 = 22343713557
BaseRepresentation
bin1111100010001…
…11000000001100
3100002012122112210
413301013000030
5231330024002
620533030420
73141436635
oct761070014
9302178483
10130314252
1167617032
1237785410
1320cc8833
141344288c
15b69196c
hex7c4700c

130314252 has 48 divisors (see below), whose sum is σ = 315608832. Its totient is φ = 41818560.

The previous prime is 130314203. The next prime is 130314253. The reversal of 130314252 is 252413031.

130314252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (130314253) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34858 + ... + 38414.

It is an arithmetic number, because the mean of its divisors is an integer number (6575184).

Almost surely, 2130314252 is an apocalyptic number.

130314252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130314252 is an abundant number, since it is smaller than the sum of its proper divisors (185294580).

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

130314252 is a wasteful number, since it uses less digits than its factorization.

130314252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678 (or 3676 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 130314252 is about 11415.5267946775. The cubic root of 130314252 is about 506.9875623775.

Adding to 130314252 its reverse (252413031), we get a palindrome (382727283).

The spelling of 130314252 in words is "one hundred thirty million, three hundred fourteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 43 71 86 129 142 172 213 258 284 426 516 852 3053 3557 6106 7114 9159 10671 12212 14228 18318 21342 36636 42684 152951 252547 305902 458853 505094 611804 757641 917706 1010188 1515282 1835412 3030564 10859521 21719042 32578563 43438084 65157126 130314252