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3313110042 = 23211174124007
BaseRepresentation
bin1100010101111010…
…0000110000011010
322112220012102120100
43011132200300122
523241124010132
61304431240230
7145046653644
oct30536406032
98486172510
103313110042
111450189680
12785679076
1340a522658
1423602d894
15145ce237c
hexc57a0c1a

3313110042 has 96 divisors (see below), whose sum is σ = 8494222464. Its totient is φ = 921830400.

The previous prime is 3313110029. The next prime is 3313110043. The reversal of 3313110042 is 2400113133.

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

It is a junction number, because it is equal to n+sod(n) for n = 3313109997 and 3313110024.

It is not an unprimeable number, because it can be changed into a prime (3313110043) 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, 126003 + ... + 150009.

It is an arithmetic number, because the mean of its divisors is an integer number (88481484).

Almost surely, 23313110042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3313110042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4247111232).

3313110042 is an abundant number, since it is smaller than the sum of its proper divisors (5181112422).

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

3313110042 is a wasteful number, since it uses less digits than its factorization.

3313110042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24084 (or 24081 counting only the distinct ones).

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

The square root of 3313110042 is about 57559.6216283603. The cubic root of 3313110042 is about 1490.7744936787.

Adding to 3313110042 its reverse (2400113133), we get a palindrome (5713223175).

The spelling of 3313110042 in words is "three billion, three hundred thirteen million, one hundred ten thousand, forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 41 51 66 82 99 102 123 153 187 198 246 306 369 374 451 561 697 738 902 1122 1353 1394 1683 2091 2706 3366 4059 4182 6273 7667 8118 12546 15334 23001 24007 46002 48014 69003 72021 138006 144042 216063 264077 408119 432126 528154 792231 816238 984287 1224357 1584462 1968574 2376693 2448714 2952861 3673071 4489309 4753386 5905722 7346142 8858583 8978618 10827157 13467927 16732879 17717166 21654314 26935854 32481471 33465758 40403781 50198637 64962942 80807562 97444413 100397274 150595911 184061669 194888826 301191822 368123338 552185007 1104370014 1656555021 3313110042