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3130186312 = 23111931131461
BaseRepresentation
bin1011101010010010…
…1101101001001000
322002010222221101101
42322210231221020
522402311430222
61234334431144
7140366100421
oct27244555110
98063887341
103130186312
1113669aa340
127343624b4
133ab666a66
14219a14648
15134c0c927
hexba92da48

3130186312 has 128 divisors (see below), whose sum is σ = 7025356800. Its totient is φ = 1291680000.

The previous prime is 3130186303. The next prime is 3130186363. The reversal of 3130186312 is 2136810313.

It is a super-2 number, since 2×31301863122 = 19596132695664322688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6789762 + ... + 6790222.

It is an arithmetic number, because the mean of its divisors is an integer number (54885600).

Almost surely, 23130186312 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 3130186312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512678400).

3130186312 is an abundant number, since it is smaller than the sum of its proper divisors (3895170488).

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

3130186312 is a wasteful number, since it uses less digits than its factorization.

3130186312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 3130186312 is about 55948.0679916653. The cubic root of 3130186312 is about 1462.8172150640.

Adding to 3130186312 its reverse (2136810313), we get a palindrome (5266996625).

The spelling of 3130186312 in words is "three billion, one hundred thirty million, one hundred eighty-six thousand, three hundred twelve".

Divisors: 1 2 4 8 11 19 22 31 38 44 62 76 88 124 131 152 209 248 262 341 418 461 524 589 682 836 922 1048 1178 1364 1441 1672 1844 2356 2489 2728 2882 3688 4061 4712 4978 5071 5764 6479 8122 8759 9956 10142 11528 12958 14291 16244 17518 19912 20284 25916 27379 28582 32488 35036 40568 44671 51832 54758 57164 60391 70072 77159 89342 96349 109516 114328 120782 154318 157201 178684 192698 219032 241564 271529 308636 314402 357368 385396 483128 543058 617272 628804 664301 770792 848749 1086116 1147429 1257608 1328602 1697498 1872121 2172232 2294858 2657204 2986819 3394996 3744242 4589716 5314408 5973638 6789992 7488484 9179432 11947276 12621719 14976968 20593331 23894552 25243438 35570299 41186662 50486876 71140598 82373324 100973752 142281196 164746648 284562392 391273289 782546578 1565093156 3130186312