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2122288031 is a prime number
BaseRepresentation
bin111111001111111…
…1000101110011111
312110220110101212102
41332133320232133
513321301204111
6550331555315
7103410102443
oct17637705637
95426411772
102122288031
11999a81456
124b28bbb3b
1327a8c2846
14161c0c823
15c64bb13b
hex7e7f8b9f

2122288031 has 2 divisors, whose sum is σ = 2122288032. Its totient is φ = 2122288030.

The previous prime is 2122288009. The next prime is 2122288061. The reversal of 2122288031 is 1308822212.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2122288031 is a prime.

It is a super-2 number, since 2×21222880312 = 9008212973051713922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2122287985 and 2122288003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122288061) 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 as a sum of consecutive naturals, namely, 1061144015 + 1061144016.

It is an arithmetic number, because the mean of its divisors is an integer number (1061144016).

Almost surely, 22122288031 is an apocalyptic number.

2122288031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122288031 is an equidigital number, since it uses as much as digits as its factorization.

2122288031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 2122288031 is about 46068.2974614865. The cubic root of 2122288031 is about 1285.0936420325.

The spelling of 2122288031 in words is "two billion, one hundred twenty-two million, two hundred eighty-eight thousand, thirty-one".