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22002111200029 is a prime number
BaseRepresentation
bin1010000000010110001000…
…00001011011101100011101
32212220101021221220102121111
411000023010001123230131
510340440310431400104
6114443344053302021
74430412553312042
oct500130401335435
985811257812544
1022002111200029
1170130521a6734
1225741a6634911
13c37a37057a9c
14560c9d2711c9
152824d338e404
hex1402c405bb1d

22002111200029 has 2 divisors, whose sum is σ = 22002111200030. Its totient is φ = 22002111200028.

The previous prime is 22002111199969. The next prime is 22002111200149. The reversal of 22002111200029 is 92000211120022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15939042171129 + 6063069028900 = 3992373^2 + 2462330^2 .

It is a cyclic number.

It is not a de Polignac number, because 22002111200029 - 217 = 22002111068957 is a prime.

It is a super-3 number, since 3×220021112000293 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22002111199982 and 22002111200009.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22002171200029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11001055600014 + 11001055600015.

It is an arithmetic number, because the mean of its divisors is an integer number (11001055600015).

Almost surely, 222002111200029 is an apocalyptic number.

It is an amenable number.

22002111200029 is a deficient number, since it is larger than the sum of its proper divisors (1).

22002111200029 is an equidigital number, since it uses as much as digits as its factorization.

22002111200029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 22002111200029 in words is "twenty-two trillion, two billion, one hundred eleven million, two hundred thousand, twenty-nine".