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3113120142 = 2371189727
BaseRepresentation
bin1011100110001110…
…0111000110001110
322000221212220000000
42321203213012032
522333424321032
61232524545130
7140101041006
oct27143470616
98027786000
103113120142
111358303270
1272a6b21a6
133a7c6cb32
14217651006
1513348ae7c
hexb98e718e

3113120142 has 128 divisors (see below), whose sum is σ = 7736601600. Its totient is φ = 931487040.

The previous prime is 3113120123. The next prime is 3113120209. The reversal of 3113120142 is 2410213113.

3113120142 is a `hidden beast` number, since 311 + 312 + 0 + 1 + 42 = 666.

It is a super-2 number, since 2×31131201422 = 19383034037052200328, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4281783 + ... + 4282509.

It is an arithmetic number, because the mean of its divisors is an integer number (60442200).

Almost surely, 23113120142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113120142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868300800).

3113120142 is an abundant number, since it is smaller than the sum of its proper divisors (4623481458).

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

3113120142 is an equidigital number, since it uses as much as digits as its factorization.

3113120142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3113120142 is about 55795.3415797412. The cubic root of 3113120142 is about 1460.1538810097.

Adding to 3113120142 its reverse (2410213113), we get a palindrome (5523333255).

The spelling of 3113120142 in words is "three billion, one hundred thirteen million, one hundred twenty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 89 99 162 178 198 243 267 297 486 534 594 727 729 801 891 979 1454 1458 1602 1782 1958 2181 2187 2403 2673 2937 4362 4374 4806 5346 5874 6543 7209 7997 8019 8811 13086 14418 15994 16038 17622 19629 21627 23991 24057 26433 39258 43254 47982 48114 52866 58887 64703 64881 71973 79299 117774 129406 129762 143946 158598 176661 194109 194643 215919 237897 353322 388218 389286 431838 475794 529983 582327 647757 711733 713691 1059966 1164654 1295514 1423466 1427382 1589949 1746981 1943271 2135199 2141073 3179898 3493962 3886542 4270398 4282146 5240943 5829813 6405597 10481886 11659626 12811194 15722829 17489439 19216791 31445658 34978878 38433582 47168487 57650373 94336974 115300746 141505461 172951119 283010922 345902238 518853357 1037706714 1556560071 3113120142