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1233130240329 = 31327333317939
BaseRepresentation
bin10001111100011100010…
…010100011100101001001
311100212220222002200211120
4101330130102203211021
5130200422320142304
62342254152345453
7155043055046001
oct21743422434511
94325828080746
101233130240329
11435a70966aa9
1217aba49a5289
138c38c335300
144398059d001
15221235330d9
hex11f1c4a3949

1233130240329 has 24 divisors (see below), whose sum is σ = 1804766173920. Its totient is φ = 748454159232.

The previous prime is 1233130240231. The next prime is 1233130240357. The reversal of 1233130240329 is 9230420313321.

It is not a de Polignac number, because 1233130240329 - 225 = 1233096685897 is a prime.

It is a super-2 number, since 2×12331302403292 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1233130240329.

It is not an unprimeable number, because it can be changed into a prime (1233130240399) 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 23 ways as a sum of consecutive naturals, for example, 16621959 + ... + 16695980.

It is an arithmetic number, because the mean of its divisors is an integer number (75198590580).

Almost surely, 21233130240329 is an apocalyptic number.

It is an amenable number.

1233130240329 is a deficient number, since it is larger than the sum of its proper divisors (571635933591).

1233130240329 is a wasteful number, since it uses less digits than its factorization.

1233130240329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33318041 (or 33318028 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The spelling of 1233130240329 in words is "one trillion, two hundred thirty-three billion, one hundred thirty million, two hundred forty thousand, three hundred twenty-nine".

Divisors: 1 3 13 39 73 169 219 507 949 2847 12337 37011 33317939 99953817 433133207 1299399621 2432209547 5630731691 7296628641 16892195073 31618724111 94856172333 411043413443 1233130240329