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3112332012 = 2234191912647
BaseRepresentation
bin1011100110000010…
…0110101011101100
322000220101211220000
42321200212223230
522333224111022
61232500024300
7140061246156
oct27140465354
98026354800
103112332012
111357915119
1272a392090
133a7a5519a
142174c7ad6
151333826ac
hexb9826aec

3112332012 has 120 divisors (see below), whose sum is σ = 8612567040. Its totient is φ = 977326560.

The previous prime is 3112332011. The next prime is 3112332019. The reversal of 3112332012 is 2102332113.

3112332012 is a `hidden beast` number, since 311 + 23 + 320 + 12 = 666.

3112332012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31123320122 = 19373221105839936288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3112332011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1174473 + ... + 1177119.

It is an arithmetic number, because the mean of its divisors is an integer number (71771392).

Almost surely, 23112332012 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 3112332012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4306283520).

3112332012 is an abundant number, since it is smaller than the sum of its proper divisors (5500235028).

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

3112332012 is a wasteful number, since it uses less digits than its factorization.

3112332012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2873 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3112332012 is about 55788.2784462830. The cubic root of 3112332012 is about 1460.0306511361.

Adding to 3112332012 its reverse (2102332113), we get a palindrome (5214664125).

The spelling of 3112332012 in words is "three billion, one hundred twelve million, three hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 191 228 324 342 382 513 573 684 764 1026 1146 1539 1719 2052 2292 2647 3078 3438 3629 5157 5294 6156 6876 7258 7941 10314 10588 10887 14516 15471 15882 20628 21774 23823 30942 31764 32661 43548 47646 50293 61884 65322 71469 95292 97983 100586 130644 142938 150879 195966 201172 214407 285876 293949 301758 391932 428814 452637 505577 587898 603516 857628 905274 1011154 1175796 1357911 1516731 1810548 2022308 2715822 3033462 4073733 4550193 5431644 6066924 8147466 9100386 9605963 13650579 16294932 18200772 19211926 27301158 28817889 38423852 40951737 54602316 57635778 81903474 86453667 115271556 163806948 172907334 259361001 345814668 518722002 778083003 1037444004 1556166006 3112332012