Search a number
-
+
2121307641 = 322310247863
BaseRepresentation
bin111111001110000…
…1001010111111001
312110211121121000200
41332130021113321
513321023321031
6550254552413
7103365550245
oct17634112771
95424547020
102121307641
11999471912
124b2508709
1327a63b52b
14161a35425
15c63758e6
hex7e7095f9

2121307641 has 12 divisors (see below), whose sum is σ = 3197333568. Its totient is φ = 1352717784.

The previous prime is 2121307621. The next prime is 2121307663. The reversal of 2121307641 is 1467031212.

2121307641 is a `hidden beast` number, since 2 + 1 + 2 + 13 + 0 + 7 + 641 = 666.

It is not a de Polignac number, because 2121307641 - 29 = 2121307129 is a prime.

It is a super-2 number, since 2×21213076412 = 8999892215529969762, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2121307621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5123725 + ... + 5124138.

It is an arithmetic number, because the mean of its divisors is an integer number (266444464).

Almost surely, 22121307641 is an apocalyptic number.

It is an amenable number.

2121307641 is a deficient number, since it is larger than the sum of its proper divisors (1076025927).

2121307641 is a wasteful number, since it uses less digits than its factorization.

2121307641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10247892 (or 10247889 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2121307641 is about 46057.6556177146. The cubic root of 2121307641 is about 1284.8957287443.

Adding to 2121307641 its reverse (1467031212), we get a palindrome (3588338853).

The spelling of 2121307641 in words is "two billion, one hundred twenty-one million, three hundred seven thousand, six hundred forty-one".

Divisors: 1 3 9 23 69 207 10247863 30743589 92230767 235700849 707102547 2121307641