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2130311313 = 331323263881
BaseRepresentation
bin111111011111001…
…1111100010010001
312111110120000202000
41332332133202101
513330324430223
6551215544213
7103535230104
oct17676374221
95443500660
102130311313
119a3561469
124b552b069
1327c471750
14162cda73b
15c7053543
hex7ef9f891

2130311313 has 32 divisors (see below), whose sum is σ = 3546574080. Its totient is φ = 1253957760.

The previous prime is 2130311273. The next prime is 2130311317. The reversal of 2130311313 is 3131130312.

It is a happy number.

It is not a de Polignac number, because 2130311313 - 29 = 2130310801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2130311317) 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, 123868 + ... + 140013.

It is an arithmetic number, because the mean of its divisors is an integer number (110830440).

Almost surely, 22130311313 is an apocalyptic number.

2130311313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2130311313 is a deficient number, since it is larger than the sum of its proper divisors (1416262767).

2130311313 is a wasteful number, since it uses less digits than its factorization.

2130311313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263926 (or 263920 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 2130311313 is about 46155.2956116630. The cubic root of 2130311313 is about 1286.7110321072.

Adding to 2130311313 its reverse (3131130312), we get a palindrome (5261441625).

The spelling of 2130311313 in words is "two billion, one hundred thirty million, three hundred eleven thousand, three hundred thirteen".

Divisors: 1 3 9 13 23 27 39 69 117 207 299 351 621 897 2691 8073 263881 791643 2374929 3430453 6069263 7124787 10291359 18207789 30874077 54623367 78900419 92622231 163870101 236701257 710103771 2130311313