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1133442310329 = 3372856721323
BaseRepresentation
bin10000011111100110011…
…011010010000010111001
311000100121112200011011000
4100133212123102002321
5122032242212412304
62224410214155213
7144613520450400
oct20374633220271
94010545604130
101133442310329
113a77656a979a
12163803652b09
1382b6338b494
143cc04b74637
151e73b8dd939
hex107e66d20b9

1133442310329 has 24 divisors (see below), whose sum is σ = 1953324618720. Its totient is φ = 647681319432.

The previous prime is 1133442310321. The next prime is 1133442310367. The reversal of 1133442310329 is 9230132443311.

1133442310329 is a `hidden beast` number, since 1 + 1 + 334 + 4 + 2 + 310 + 3 + 2 + 9 = 666.

It is not a de Polignac number, because 1133442310329 - 23 = 1133442310321 is a prime.

It is a super-2 number, since 2×11334423103292 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1133442310293 and 1133442310302.

It is not an unprimeable number, because it can be changed into a prime (1133442310321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 428359339 + ... + 428361984.

It is an arithmetic number, because the mean of its divisors is an integer number (81388525780).

Almost surely, 21133442310329 is an apocalyptic number.

It is an amenable number.

1133442310329 is a deficient number, since it is larger than the sum of its proper divisors (819882308391).

1133442310329 is an equidigital number, since it uses as much as digits as its factorization.

1133442310329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856721346 (or 856721333 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 1133442310329 in words is "one trillion, one hundred thirty-three billion, four hundred forty-two million, three hundred ten thousand, three hundred twenty-nine".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 856721323 2570163969 5997049261 7710491907 17991147783 23131475721 41979344827 53973443349 125938034481 161920330047 377814103443 1133442310329