Search a number
-
+
3013310112 = 253173159561
BaseRepresentation
bin1011001110011011…
…0111011010100000
321210000002000101020
42303212313122200
522132401410422
61215001405440
7134446466451
oct26346673240
97700060336
103013310112
111306a3153a
12701199880
13390394947
142082ad128
1512982295c
hexb39b76a0

3013310112 has 96 divisors (see below), whose sum is σ = 8645543424. Its totient is φ = 914841600.

The previous prime is 3013310087. The next prime is 3013310117. The reversal of 3013310112 is 2110133103.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3013310091 and 3013310100.

It is not an unprimeable number, because it can be changed into a prime (3013310117) 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, 20812 + ... + 80372.

It is an arithmetic number, because the mean of its divisors is an integer number (90057744).

Almost surely, 23013310112 is an apocalyptic number.

3013310112 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 3013310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4322771712).

3013310112 is an abundant number, since it is smaller than the sum of its proper divisors (5632233312).

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

3013310112 is a wasteful number, since it uses less digits than its factorization.

3013310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59622 (or 59614 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 3013310112 is about 54893.6254222656. The cubic root of 3013310112 is about 1444.3793684572.

Adding to 3013310112 its reverse (2110133103), we get a palindrome (5123443215).

The spelling of 3013310112 in words is "three billion, thirteen million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 68 93 96 102 124 136 186 204 248 272 372 408 496 527 544 744 816 992 1054 1488 1581 1632 2108 2976 3162 4216 6324 8432 12648 16864 25296 50592 59561 119122 178683 238244 357366 476488 714732 952976 1012537 1429464 1846391 1905952 2025074 2858928 3037611 3692782 4050148 5539173 5717856 6075222 7385564 8100296 11078346 12150444 14771128 16200592 22156692 24300888 29542256 31388647 32401184 44313384 48601776 59084512 62777294 88626768 94165941 97203552 125554588 177253536 188331882 251109176 376663764 502218352 753327528 1004436704 1506655056 3013310112