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2219958362053 is a prime number
BaseRepresentation
bin100000010011011111110…
…101000101111111000101
321212020002201022101012001
4200103133311011333011
5242332433320041203
64415500152025301
7316246431506365
oct40233765057705
97766081271161
102219958362053
1178652a691883
122ba2ab692231
1313145873cc23
14796374d89a5
153cb2d6e591d
hex204dfd45fc5

2219958362053 has 2 divisors, whose sum is σ = 2219958362054. Its totient is φ = 2219958362052.

The previous prime is 2219958362021. The next prime is 2219958362059. The reversal of 2219958362053 is 3502638599122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1808965820484 + 410992541569 = 1344978^2 + 641087^2 .

It is a cyclic number.

It is not a de Polignac number, because 2219958362053 - 25 = 2219958362021 is a prime.

It is a super-3 number, since 3×22199583620533 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2219958361985 and 2219958362003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2219958362059) 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, 1109979181026 + 1109979181027.

It is an arithmetic number, because the mean of its divisors is an integer number (1109979181027).

Almost surely, 22219958362053 is an apocalyptic number.

It is an amenable number.

2219958362053 is a deficient number, since it is larger than the sum of its proper divisors (1).

2219958362053 is an equidigital number, since it uses as much as digits as its factorization.

2219958362053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6998400, while the sum is 55.

The spelling of 2219958362053 in words is "two trillion, two hundred nineteen billion, nine hundred fifty-eight million, three hundred sixty-two thousand, fifty-three".