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3123132312 = 233436194889
BaseRepresentation
bin1011101000100111…
…0011011110011000
322001122201120010010
42322021303132120
522344010213222
61233523321520
7140252121006
oct27211633630
98048646103
103123132312
111362a21593
12731b202a0
133aa0670b1
14218ad9a76
151342b780c
hexba273798

3123132312 has 64 divisors (see below), whose sum is σ = 8003952000. Its totient is φ = 1014983424.

The previous prime is 3123132263. The next prime is 3123132317. The reversal of 3123132312 is 2132313213.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3123132317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 636364 + ... + 641252.

It is an arithmetic number, because the mean of its divisors is an integer number (125061750).

Almost surely, 23123132312 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 3123132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4001976000).

3123132312 is an abundant number, since it is smaller than the sum of its proper divisors (4880819688).

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

3123132312 is a wasteful number, since it uses less digits than its factorization.

3123132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5560 (or 5556 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 3123132312 is about 55884.9918314390. The cubic root of 3123132312 is about 1461.7175495772.

Adding to 3123132312 its reverse (2132313213), we get a palindrome (5255445525).

The spelling of 3123132312 in words is "three billion, one hundred twenty-three million, one hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 619 1032 1238 1857 2476 3714 4889 4952 7428 9778 14667 14856 19556 26617 29334 39112 53234 58668 79851 106468 117336 159702 210227 212936 319404 420454 630681 638808 840908 1261362 1681816 2522724 3026291 5045448 6052582 9078873 12105164 18157746 24210328 36315492 72630984 130130513 260261026 390391539 520522052 780783078 1041044104 1561566156 3123132312