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220122000431 is a prime number
BaseRepresentation
bin1100110100000001001…
…0110010110000101111
3210001011200101012212122
43031000102302300233
512101302213003211
6245042254223155
721621554063204
oct3150022626057
9701150335778
10220122000431
1185398148a23
12367b24b4abb
13179b00713c8
14a922683cab
155ad4c8d6db
hex33404b2c2f

220122000431 has 2 divisors, whose sum is σ = 220122000432. Its totient is φ = 220122000430.

The previous prime is 220122000409. The next prime is 220122000433. The reversal of 220122000431 is 134000221022.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220122000431 is a prime.

It is a super-2 number, since 2×2201220004312 (a number of 23 digits) contains 22 as substring.

Together with 220122000433, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220122000433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110061000215 + 110061000216.

It is an arithmetic number, because the mean of its divisors is an integer number (110061000216).

Almost surely, 2220122000431 is an apocalyptic number.

220122000431 is a deficient number, since it is larger than the sum of its proper divisors (1).

220122000431 is an equidigital number, since it uses as much as digits as its factorization.

220122000431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 220122000431 its reverse (134000221022), we get a palindrome (354122221453).

The spelling of 220122000431 in words is "two hundred twenty billion, one hundred twenty-two million, four hundred thirty-one", and thus it is an aban number.