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2130312321 = 324325721419
BaseRepresentation
bin111111011111001…
…1111110010000001
312111110120002010100
41332332133302001
513330324443241
6551215553013
7103535233044
oct17676376201
95443502110
102130312321
119a35621a5
124b552b769
1327c472047
14162cdac5b
15c70539b6
hex7ef9fc81

2130312321 has 24 divisors (see below), whose sum is σ = 3161077920. Its totient is φ = 1381718016.

The previous prime is 2130312299. The next prime is 2130312323. The reversal of 2130312321 is 1232130312.

2130312321 is a `hidden beast` number, since 2 + 1 + 30 + 312 + 321 = 666.

It is not a de Polignac number, because 2130312321 - 26 = 2130312257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2130312294 and 2130312303.

It is not an unprimeable number, because it can be changed into a prime (2130312323) 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, 88750 + ... + 110168.

It is an arithmetic number, because the mean of its divisors is an integer number (131711580).

Almost surely, 22130312321 is an apocalyptic number.

It is an amenable number.

2130312321 is a deficient number, since it is larger than the sum of its proper divisors (1030765599).

2130312321 is a wasteful number, since it uses less digits than its factorization.

2130312321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21725 (or 21722 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2130312321 is about 46155.3065313188. The cubic root of 2130312321 is about 1286.7112350517.

Adding to 2130312321 its reverse (1232130312), we get a palindrome (3362442633).

The spelling of 2130312321 in words is "two billion, one hundred thirty million, three hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 9 43 129 257 387 771 2313 11051 21419 33153 64257 99459 192771 921017 2763051 5504683 8289153 16514049 49542147 236701369 710104107 2130312321