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3031021312 = 281110110657
BaseRepresentation
bin1011010010101001…
…1011011100000000
321211020101211120121
42310222123130000
522201420140222
61220433150024
7135053153554
oct26452333400
97736354517
103031021312
111315a291a0
127070bb314
13393c56347
1420a79d864
1512b1705c7
hexb4a9b700

3031021312 has 72 divisors (see below), whose sum is σ = 6666195312. Its totient is φ = 1363968000.

The previous prime is 3031021297. The next prime is 3031021313. The reversal of 3031021312 is 2131201303.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3031021313) 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, 279088 + ... + 289744.

It is an arithmetic number, because the mean of its divisors is an integer number (92586046).

Almost surely, 23031021312 is an apocalyptic number.

3031021312 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 3031021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333097656).

3031021312 is an abundant number, since it is smaller than the sum of its proper divisors (3635174000).

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

3031021312 is a wasteful number, since it uses less digits than its factorization.

3031021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10785 (or 10771 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3031021312 is about 55054.7119872586. The cubic root of 3031021312 is about 1447.2036971651.

Adding to 3031021312 its reverse (2131201303), we get a palindrome (5162222615).

Subtracting from 3031021312 its reverse (2131201303), we obtain a square (899820009 = 299972).

The spelling of 3031021312 in words is "three billion, thirty-one million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 128 176 202 256 352 404 704 808 1111 1408 1616 2222 2816 3232 4444 6464 8888 10657 12928 17776 21314 25856 35552 42628 71104 85256 117227 142208 170512 234454 284416 341024 468908 682048 937816 1076357 1364096 1875632 2152714 2728192 3751264 4305428 7502528 8610856 11839927 15005056 17221712 23679854 30010112 34443424 47359708 68886848 94719416 137773696 189438832 275547392 378877664 757755328 1515510656 3031021312