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3123013312 = 261272231723
BaseRepresentation
bin1011101000100101…
…0110011011000000
322001122111111212201
42322021112123000
522343442411222
61233521002544
7140251114036
oct27211263300
98048444781
103123013312
111362950141
12731a83454
133aa024b93
14218aa8556
15134292427
hexba2566c0

3123013312 has 56 divisors (see below), whose sum is σ = 6277677056. Its totient is φ = 1541369088.

The previous prime is 3123013307. The next prime is 3123013319. The reversal of 3123013312 is 2133103213.

It is a self number, because there is not a number n which added to its sum of digits gives 3123013312.

It is not an unprimeable number, because it can be changed into a prime (3123013319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1811683 + ... + 1813405.

It is an arithmetic number, because the mean of its divisors is an integer number (112101376).

Almost surely, 23123013312 is an apocalyptic number.

3123013312 is a gapful number since it is divisible by the number (32) 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 3123013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138838528).

3123013312 is an abundant number, since it is smaller than the sum of its proper divisors (3154663744).

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

3123013312 is a wasteful number, since it uses less digits than its factorization.

3123013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 3123013312 is about 55883.9271347317. The cubic root of 3123013312 is about 1461.6989841776.

Adding to 3123013312 its reverse (2133103213), we get a palindrome (5256116525).

The spelling of 3123013312 in words is "three billion, one hundred twenty-three million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 127 223 254 446 508 892 1016 1723 1784 2032 3446 3568 4064 6892 7136 8128 13784 14272 27568 28321 55136 56642 110272 113284 218821 226568 384229 437642 453136 768458 875284 906272 1536916 1750568 1812544 3073832 3501136 6147664 7002272 12295328 14004544 24590656 48797083 97594166 195188332 390376664 780753328 1561506656 3123013312