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2122313031 = 321743322589
BaseRepresentation
bin111111001111111…
…1110110101000111
312110220111200011100
41332133332311013
513321303004111
6550332311143
7103410235356
oct17637766507
95426450140
102122313031
11999a99213
124b29124b3
1327a901037
14161c1799d
15c64c3756
hex7e7fed47

2122313031 has 24 divisors (see below), whose sum is σ = 3321386640. Its totient is φ = 1300674816.

The previous prime is 2122313023. The next prime is 2122313051. The reversal of 2122313031 is 1303132212.

It is not a de Polignac number, because 2122313031 - 23 = 2122313023 is a prime.

It is a super-2 number, since 2×21223130312 = 9008425203104813922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2122312995 and 2122313013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122313051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154716 + ... + 167873.

It is an arithmetic number, because the mean of its divisors is an integer number (138391110).

Almost surely, 22122313031 is an apocalyptic number.

2122313031 is a deficient number, since it is larger than the sum of its proper divisors (1199073609).

2122313031 is a wasteful number, since it uses less digits than its factorization.

2122313031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322655 (or 322652 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2122313031 is about 46068.5687969574. The cubic root of 2122313031 is about 1285.0986880354.

Adding to 2122313031 its reverse (1303132212), we get a palindrome (3425445243).

The spelling of 2122313031 in words is "two billion, one hundred twenty-two million, three hundred thirteen thousand, thirty-one".

Divisors: 1 3 9 17 43 51 129 153 387 731 2193 6579 322589 967767 2903301 5484013 13871327 16452039 41613981 49356117 124841943 235812559 707437677 2122313031