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33131400330 = 2357157768573
BaseRepresentation
bin11110110110110010…
…010000110010001010
310011111222120112002010
4132312302100302022
51020323114302310
623115332520350
72252012153610
oct366662206212
9104458515063
1033131400330
11130618a2496
1265077800b6
1331800655c2
1418642976b0
15cdd9c6320
hex7b6c90c8a

33131400330 has 32 divisors (see below), whose sum is σ = 90874698624. Its totient is φ = 7572891456.

The previous prime is 33131400301. The next prime is 33131400331. The reversal of 33131400330 is 3300413133.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33131400297 and 33131400306.

It is not an unprimeable number, because it can be changed into a prime (33131400331) 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, 78884077 + ... + 78884496.

It is an arithmetic number, because the mean of its divisors is an integer number (2839834332).

Almost surely, 233131400330 is an apocalyptic number.

33131400330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33131400330 is an abundant number, since it is smaller than the sum of its proper divisors (57743298294).

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

33131400330 is a wasteful number, since it uses less digits than its factorization.

33131400330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157768590.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 33131400330 its reverse (3300413133), we get a palindrome (36431813463).

The spelling of 33131400330 in words is "thirty-three billion, one hundred thirty-one million, four hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 157768573 315537146 473305719 788842865 946611438 1104380011 1577685730 2208760022 2366528595 3313140033 4733057190 5521900055 6626280066 11043800110 16565700165 33131400330