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33334004331 = 331333792569
BaseRepresentation
bin11111000010110111…
…001000101001101011
310012001002210212112000
4133002313020221223
51021232001114311
623151411222043
72260022235045
oct370267105153
9105032725460
1033334004331
11131561a3911
1265635a7923
1331b3021c24
141883156a95
15d01697056
hex7c2dc8a6b

33334004331 has 16 divisors (see below), whose sum is σ = 49387946400. Its totient is φ = 22220763264.

The previous prime is 33334004321. The next prime is 33334004401. The reversal of 33334004331 is 13340043333.

It is not a de Polignac number, because 33334004331 - 25 = 33334004299 is a prime.

It is a super-2 number, since 2×333340043312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 33334004295 and 33334004304.

It is not an unprimeable number, because it can be changed into a prime (33334004321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313815 + ... + 406383.

It is an arithmetic number, because the mean of its divisors is an integer number (3086746650).

Almost surely, 233334004331 is an apocalyptic number.

33334004331 is a deficient number, since it is larger than the sum of its proper divisors (16053942069).

33334004331 is a wasteful number, since it uses less digits than its factorization.

33334004331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105915 (or 105909 counting only the distinct ones).

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

Adding to 33334004331 its reverse (13340043333), we get a palindrome (46674047664).

The spelling of 33334004331 in words is "thirty-three billion, three hundred thirty-four million, four thousand, three hundred thirty-one".

Divisors: 1 3 9 27 13337 40011 92569 120033 277707 360099 833121 2499363 1234592753 3703778259 11111334777 33334004331