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3123310113 = 3271124118701
BaseRepresentation
bin1011101000101001…
…1110111000100001
322001200001121000100
42322022132320201
522344031410423
61233531213013
7140253461250
oct27212367041
98050047010
103123310113
111363033130
12731ba7169
133aa0c9cc1
14218b44797
15134300343
hexba29ee21

3123310113 has 48 divisors (see below), whose sum is σ = 5648303232. Its totient is φ = 1615680000.

The previous prime is 3123310067. The next prime is 3123310133. The reversal of 3123310113 is 3110133213.

It is a happy number.

3123310113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3123310113 - 220 = 3122261537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3123310133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157663 + ... + 176363.

It is an arithmetic number, because the mean of its divisors is an integer number (117672984).

Almost surely, 23123310113 is an apocalyptic number.

3123310113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3123310113 is a deficient number, since it is larger than the sum of its proper divisors (2524993119).

3123310113 is a wasteful number, since it uses less digits than its factorization.

3123310113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18966 (or 18963 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3123310113 is about 55886.5825847314. The cubic root of 3123310113 is about 1461.7452877456.

Adding to 3123310113 its reverse (3110133213), we get a palindrome (6233443326).

Subtracting from 3123310113 its reverse (3110133213), we obtain a square (13176900 = 36302).

It can be divided in two parts, 3123 and 310113, that added together give a triangular number (313236 = T791).

The spelling of 3123310113 in words is "three billion, one hundred twenty-three million, three hundred ten thousand, one hundred thirteen".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 241 693 723 1687 2169 2651 5061 7953 15183 18557 18701 23859 55671 56103 130907 167013 168309 205711 392721 617133 1178163 1439977 1851399 4319931 4506941 12959793 13520823 31548587 40562469 49576351 94645761 148729053 283937283 347034457 446187159 1041103371 3123310113