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1252310312 = 2311210112809
BaseRepresentation
bin100101010100100…
…1011110100101000
310020021102221210102
41022221023310220
510031042412222
6324133204532
743014314321
oct11251136450
93207387712
101252310312
11592995300
122ab490748
1316c5ab326
14bc469448
1574e1ed92
hex4aa4bd28

1252310312 has 48 divisors (see below), whose sum is σ = 2606706900. Its totient is φ = 563552000.

The previous prime is 1252310309. The next prime is 1252310327. The reversal of 1252310312 is 2130132521.

It can be written as a sum of positive squares in 2 ways, for example, as 1203673636 + 48636676 = 34694^2 + 6974^2 .

It is a super-2 number, since 2×12523103122 = 3136562235083074688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91364 + ... + 104172.

Almost surely, 21252310312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1252310312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303353450).

1252310312 is an abundant number, since it is smaller than the sum of its proper divisors (1354396588).

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

1252310312 is a wasteful number, since it uses less digits than its factorization.

1252310312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12938 (or 12923 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1252310312 is about 35387.9967220525. The cubic root of 1252310312 is about 1077.8805920773.

Adding to 1252310312 its reverse (2130132521), we get a palindrome (3382442833).

The spelling of 1252310312 in words is "one billion, two hundred fifty-two million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 101 121 202 242 404 484 808 968 1111 2222 4444 8888 12221 12809 24442 25618 48884 51236 97768 102472 140899 281798 563596 1127192 1293709 1549889 2587418 3099778 5174836 6199556 10349672 12399112 14230799 28461598 56923196 113846392 156538789 313077578 626155156 1252310312