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2122313313 = 38920633853
BaseRepresentation
bin111111001111111…
…1110111001100001
312110220111200112210
41332133332321201
513321303011223
6550332312333
7103410236241
oct17637767141
95426450483
102122313313
11999a9944a
124b29126a9
1327a9011c3
14161c17b21
15c64c3893
hex7e7fee61

2122313313 has 16 divisors (see below), whose sum is σ = 2863676160. Its totient is φ = 1397937024.

The previous prime is 2122313287. The next prime is 2122313317. The reversal of 2122313313 is 3133132212.

It is a de Polignac number, because none of the positive numbers 2k-2122313313 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2122313313.

It is not an unprimeable number, because it can be changed into a prime (2122313317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 548895 + ... + 552747.

It is an arithmetic number, because the mean of its divisors is an integer number (178979760).

Almost surely, 22122313313 is an apocalyptic number.

It is an amenable number.

2122313313 is a deficient number, since it is larger than the sum of its proper divisors (741362847).

2122313313 is a wasteful number, since it uses less digits than its factorization.

2122313313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6008.

The product of its digits is 648, while the sum is 21.

The square root of 2122313313 is about 46068.5718576124. The cubic root of 2122313313 is about 1285.0987449541.

Adding to 2122313313 its reverse (3133132212), we get a palindrome (5255445525).

The spelling of 2122313313 in words is "two billion, one hundred twenty-two million, three hundred thirteen thousand, three hundred thirteen".

Divisors: 1 3 89 267 2063 3853 6189 11559 183607 342917 550821 1028751 7948739 23846217 707437771 2122313313