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1085333249 = 711139831103
BaseRepresentation
bin100000010110000…
…1101111100000001
32210122020122022202
41000230031330001
54210321130444
6255410242545
735616115610
oct10054157401
92718218282
101085333249
11507707a30
12263586455
13143b16c30
14a4201877
156543a34e
hex40b0df01

1085333249 has 32 divisors (see below), whose sum is σ = 1460035584. Its totient is φ = 779158080.

The previous prime is 1085333239. The next prime is 1085333273. The reversal of 1085333249 is 9423335801.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1085333249 is a prime.

It is a super-2 number, since 2×10853332492 = 2355896522769792002, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (1085333209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 983432 + ... + 984534.

It is an arithmetic number, because the mean of its divisors is an integer number (45626112).

Almost surely, 21085333249 is an apocalyptic number.

It is an amenable number.

1085333249 is a deficient number, since it is larger than the sum of its proper divisors (374702335).

1085333249 is a wasteful number, since it uses less digits than its factorization.

1085333249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117.

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 1085333249 is about 32944.3963216812. The cubic root of 1085333249 is about 1027.6716340979.

The spelling of 1085333249 in words is "one billion, eighty-five million, three hundred thirty-three thousand, two hundred forty-nine".

Divisors: 1 7 11 13 77 91 143 983 1001 1103 6881 7721 10813 12133 12779 14339 75691 84931 89453 100373 140569 157729 983983 1084249 1104103 7589743 11926739 14095237 83487173 98666659 155047607 1085333249