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1133201320993 = 713710949107923
BaseRepresentation
bin10000011111011000000…
…011111110110000100001
311000022222202012121221001
4100133120003332300201
5122031244014232433
62224330245032001
7144604533204520
oct20373003766041
94008882177831
101133201320993
113a765166a955
121637569b5601
1382b25482241
143cbc0b624b7
151e72568957d
hex107d80fec21

1133201320993 has 16 divisors (see below), whose sum is σ = 1304671651200. Its totient is φ = 964128525696.

The previous prime is 1133201320981. The next prime is 1133201321003. The reversal of 1133201320993 is 3990231023311.

It is not a de Polignac number, because 1133201320993 - 217 = 1133201189921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1133201320943) 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, 10446130 + ... + 10554052.

It is an arithmetic number, because the mean of its divisors is an integer number (81541978200).

Almost surely, 21133201320993 is an apocalyptic number.

It is an amenable number.

1133201320993 is a deficient number, since it is larger than the sum of its proper divisors (171470330207).

1133201320993 is a wasteful number, since it uses less digits than its factorization.

1133201320993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119016.

The product of its (nonzero) digits is 26244, while the sum is 37.

The spelling of 1133201320993 in words is "one trillion, one hundred thirty-three billion, two hundred one million, three hundred twenty thousand, nine hundred ninety-three".

Divisors: 1 7 137 959 10949 76643 107923 755461 1500013 10500091 14785451 103498157 1181648927 8271542489 161885902999 1133201320993