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1084131321 = 37213691821
BaseRepresentation
bin100000010011110…
…1000011111111001
32210112222120120220
41000213220133321
54210014200241
6255324410253
735602651500
oct10047503771
92715876526
101084131321
11506a669a9
122630a6989
131437b5b30
14a3dab837
156529e166
hex409e87f9

1084131321 has 48 divisors (see below), whose sum is σ = 1815686208. Its totient is φ = 570326400.

The previous prime is 1084131311. The next prime is 1084131337. The reversal of 1084131321 is 1231314801.

1084131321 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1084131321 - 27 = 1084131193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1084131291 and 1084131300.

It is not an unprimeable number, because it can be changed into a prime (1084131311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1320091 + ... + 1320911.

It is an arithmetic number, because the mean of its divisors is an integer number (37826796).

Almost surely, 21084131321 is an apocalyptic number.

It is an amenable number.

1084131321 is a deficient number, since it is larger than the sum of its proper divisors (731554887).

1084131321 is a wasteful number, since it uses less digits than its factorization.

1084131321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1084131321 is about 32926.1495015740. The cubic root of 1084131321 is about 1027.2921366628.

The spelling of 1084131321 in words is "one billion, eighty-four million, one hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 7 13 21 39 49 91 147 273 637 691 821 1911 2073 2463 4837 5747 8983 10673 14511 17241 26949 32019 33859 40229 62881 74711 101577 120687 188643 224133 440167 522977 567311 1320501 1568931 1701933 3971177 7375043 11913531 22125129 27798239 51625301 83394717 154875903 361377107 1084131321