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33434330130 = 23251531242647
BaseRepresentation
bin11111001000110101…
…110110010000010010
310012022002120221122100
4133020311312100102
51021433142031010
623205353421230
72262351055065
oct371065662022
9105262527570
1033434330130
11131a78980a3
12659110a816
1331caa4aac6
1418925d08dc
15d0a3b32c0
hex7c8d76412

33434330130 has 48 divisors (see below), whose sum is σ = 86986396224. Its totient is φ = 8909961120.

The previous prime is 33434330053. The next prime is 33434330131. The reversal of 33434330130 is 3103343433.

It is a super-2 number, since 2×334343301302 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33434330094 and 33434330103.

It is not an unprimeable number, because it can be changed into a prime (33434330131) 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 23 ways as a sum of consecutive naturals, for example, 16467 + ... + 259113.

It is an arithmetic number, because the mean of its divisors is an integer number (1812216588).

Almost surely, 233434330130 is an apocalyptic number.

33434330130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33434330130 is an abundant number, since it is smaller than the sum of its proper divisors (53552066094).

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

33434330130 is a wasteful number, since it uses less digits than its factorization.

33434330130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244191 (or 244188 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 33434330130 its reverse (3103343433), we get a palindrome (36537673563).

The spelling of 33434330130 in words is "thirty-three billion, four hundred thirty-four million, three hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1531 3062 4593 7655 9186 13779 15310 22965 27558 45930 68895 137790 242647 485294 727941 1213235 1455882 2183823 2426470 3639705 4367646 7279410 10919115 21838230 371492557 742985114 1114477671 1857462785 2228955342 3343433013 3714925570 5572388355 6686866026 11144776710 16717165065 33434330130