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1157008281 = 311132696989
BaseRepresentation
bin100010011110110…
…1000101110011001
32222122010002222120
41010331220232121
54332143231111
6310450411453
740446256662
oct10475505631
92878102876
101157008281
115441124a0
12283590b89
13155920cb0
14ad93c369
156b897406
hex44f68b99

1157008281 has 16 divisors (see below), whose sum is σ = 1812377280. Its totient is φ = 647277120.

The previous prime is 1157008247. The next prime is 1157008301. The reversal of 1157008281 is 1828007511.

It is not a de Polignac number, because 1157008281 - 26 = 1157008217 is a prime.

It is a super-2 number, since 2×11570082812 = 2677336324605149922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1157000281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1348066 + ... + 1348923.

It is an arithmetic number, because the mean of its divisors is an integer number (113273580).

Almost surely, 21157008281 is an apocalyptic number.

1157008281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1157008281 is a deficient number, since it is larger than the sum of its proper divisors (655368999).

1157008281 is a wasteful number, since it uses less digits than its factorization.

1157008281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697016.

The product of its (nonzero) digits is 4480, while the sum is 33.

The square root of 1157008281 is about 34014.8244299452. The cubic root of 1157008281 is about 1049.8135061072.

The spelling of 1157008281 in words is "one billion, one hundred fifty-seven million, eight thousand, two hundred eighty-one".

Divisors: 1 3 11 13 33 39 143 429 2696989 8090967 29666879 35060857 89000637 105182571 385669427 1157008281