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2122103617 is a prime number
BaseRepresentation
bin111111001111100…
…1011101101000001
312110220010000220021
41332133023231001
513321224303432
6550324013441
7103405404004
oct17637135501
95426100807
102122103617
11999965947
124b2831281
1327a85991a
14161ba153b
15c6481697
hex7e7cbb41

2122103617 has 2 divisors, whose sum is σ = 2122103618. Its totient is φ = 2122103616.

The previous prime is 2122103603. The next prime is 2122103639. The reversal of 2122103617 is 7163012212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1070009521 + 1052094096 = 32711^2 + 32436^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2122103617 is a prime.

It is a super-2 number, since 2×21221036172 = 9006647522568965378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2122103591 and 2122103600.

It is not a weakly prime, because it can be changed into another prime (2122103677) 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 as a sum of consecutive naturals, namely, 1061051808 + 1061051809.

It is an arithmetic number, because the mean of its divisors is an integer number (1061051809).

Almost surely, 22122103617 is an apocalyptic number.

It is an amenable number.

2122103617 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122103617 is an equidigital number, since it uses as much as digits as its factorization.

2122103617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 2122103617 is about 46066.2958897283. The cubic root of 2122103617 is about 1285.0564186647.

Adding to 2122103617 its reverse (7163012212), we get a palindrome (9285115829).

The spelling of 2122103617 in words is "two billion, one hundred twenty-two million, one hundred three thousand, six hundred seventeen".