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3105312112 = 247293372837
BaseRepresentation
bin1011100100010111…
…0100110101110000
322000102012012101201
42321011310311300
522324424441422
61232045340544
7136644501040
oct27105646560
98012165351
103105312112
11135395aa51
12727b67754
133a6467bb6
142165bb720
15132947727
hexb9174d70

3105312112 has 80 divisors (see below), whose sum is σ = 7136775360. Its totient is φ = 1280692224.

The previous prime is 3105312097. The next prime is 3105312127. The reversal of 3105312112 is 2112135013.

3105312112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3105312097) and next prime (3105312127).

It is a self number, because there is not a number n which added to its sum of digits gives 3105312112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1093158 + ... + 1095994.

It is an arithmetic number, because the mean of its divisors is an integer number (89209692).

Almost surely, 23105312112 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 3105312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568387680).

3105312112 is an abundant number, since it is smaller than the sum of its proper divisors (4031463248).

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

3105312112 is a wasteful number, since it uses less digits than its factorization.

3105312112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218 (or 3212 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 3105312112 is about 55725.3273835157. The cubic root of 3105312112 is about 1458.9321195977.

Adding to 3105312112 its reverse (2112135013), we get a palindrome (5217447125).

The spelling of 3105312112 in words is "three billion, one hundred five million, three hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 337 406 464 674 812 1348 1624 2359 2696 2837 3248 4718 5392 5674 9436 9773 11348 18872 19546 19859 22696 37744 39092 39718 45392 68411 78184 79436 82273 136822 156368 158872 164546 273644 317744 329092 547288 575911 658184 956069 1094576 1151822 1316368 1912138 2303644 3824276 4607288 6692483 7648552 9214576 13384966 15297104 26769932 27726001 53539864 55452002 107079728 110904004 194082007 221808008 388164014 443616016 776328028 1552656056 3105312112