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2122113131 = 10723338501
BaseRepresentation
bin111111001111100…
…1110000001101011
312110220010111221122
41332133032001223
513321230110011
6550324125455
7103405443515
oct17637160153
95426114848
102122113131
11999972006
124b283688b
1327a861058
14161ba4bb5
15c64843db
hex7e7ce06b

2122113131 has 8 divisors (see below), whose sum is σ = 2143116144. Its totient is φ = 2101132000.

The previous prime is 2122113127. The next prime is 2122113157. The reversal of 2122113131 is 1313112212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2122113131 - 22 = 2122113127 is a prime.

It is a super-2 number, since 2×21221131312 = 9006728281525246322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2122113031) 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 7 ways as a sum of consecutive naturals, for example, 245381 + ... + 253881.

It is an arithmetic number, because the mean of its divisors is an integer number (267889518).

Almost surely, 22122113131 is an apocalyptic number.

2122113131 is a deficient number, since it is larger than the sum of its proper divisors (21003013).

2122113131 is a wasteful number, since it uses less digits than its factorization.

2122113131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10941.

The product of its digits is 72, while the sum is 17.

The square root of 2122113131 is about 46066.3991538301. The cubic root of 2122113131 is about 1285.0583390875.

Adding to 2122113131 its reverse (1313112212), we get a palindrome (3435225343).

The spelling of 2122113131 in words is "two billion, one hundred twenty-two million, one hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 107 2333 8501 249631 909607 19832833 2122113131