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2130305331 = 372111317443
BaseRepresentation
bin111111011111001…
…1110000100110011
312111110112201112110
41332332132010303
513330324232311
6551215500403
7103535203500
oct17676360463
95443481473
102130305331
119a3557a20
124b5527703
1327c46bacb
14162cd84a7
15c70518a6
hex7ef9e133

2130305331 has 24 divisors (see below), whose sum is σ = 3604526784. Its totient is φ = 1106651280.

The previous prime is 2130305323. The next prime is 2130305369. The reversal of 2130305331 is 1335030312.

It is not a de Polignac number, because 2130305331 - 23 = 2130305323 is a prime.

It is a super-2 number, since 2×21303053312 = 9076401606574039122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2130305298 and 2130305307.

It is not an unprimeable number, because it can be changed into a prime (2130305731) 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, 657105 + ... + 660338.

It is an arithmetic number, because the mean of its divisors is an integer number (150188616).

Almost surely, 22130305331 is an apocalyptic number.

2130305331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2130305331 is a deficient number, since it is larger than the sum of its proper divisors (1474221453).

2130305331 is a wasteful number, since it uses less digits than its factorization.

2130305331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317471 (or 1317464 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 2130305331 is about 46155.2308086527. The cubic root of 2130305331 is about 1286.7098277273.

Adding to 2130305331 its reverse (1335030312), we get a palindrome (3465335643).

The spelling of 2130305331 in words is "two billion, one hundred thirty million, three hundred five thousand, three hundred thirty-one".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 1617 1317443 3952329 9222101 14491873 27666303 43475619 64554707 101443111 193664121 304329333 710101777 2130305331