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1000334322320 = 24512504179029
BaseRepresentation
bin11101000111010001001…
…00100110101010010000
310112122001000111202111012
432203220210212222100
5112342141041303240
62043314112110052
7132162134305454
oct16435044465220
93478030452435
101000334322320
1135626a712233
12141a55b35328
137343c622ab8
14365b89d2664
151b04aca4b65
hexe8e8926a90

1000334322320 has 20 divisors (see below), whose sum is σ = 2325777299580. Its totient is φ = 400133728896.

The previous prime is 1000334322319. The next prime is 1000334322401. The reversal of 1000334322320 is 232234330001.

It can be written as a sum of positive squares in 2 ways, for example, as 531662639104 + 468671683216 = 729152^2 + 684596^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×10003343223202 (a number of 25 digits) contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 6252089435 + ... + 6252089594.

It is an arithmetic number, because the mean of its divisors is an integer number (116288864979).

Almost surely, 21000334322320 is an apocalyptic number.

1000334322320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000334322320 is an abundant number, since it is smaller than the sum of its proper divisors (1325442977260).

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

1000334322320 is a wasteful number, since it uses less digits than its factorization.

1000334322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12504179042 (or 12504179036 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 1000334322320 its reverse (232234330001), we get a palindrome (1232568652321).

The spelling of 1000334322320 in words is "one trillion, three hundred thirty-four million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12504179029 25008358058 50016716116 62520895145 100033432232 125041790290 200066864464 250083580580 500167161160 1000334322320