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20007294853213 is a prime number
BaseRepresentation
bin1001000110010010011111…
…01100111110000001011101
32121211200022210000110000101
410203021033230332001131
510110244414440300323
6110315120244101101
74133323263163333
oct443111754760135
977750283013011
1020007294853213
1164140563a0248
1222b166a694791
13b218ab704c25
144d250300bb53
1524a6804e3dad
hex12324fb3e05d

20007294853213 has 2 divisors, whose sum is σ = 20007294853214. Its totient is φ = 20007294853212.

The previous prime is 20007294853211. The next prime is 20007294853277. The reversal of 20007294853213 is 31235849270002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17961771325689 + 2045523527524 = 4238133^2 + 1430218^2 .

It is a cyclic number.

It is not a de Polignac number, because 20007294853213 - 21 = 20007294853211 is a prime.

Together with 20007294853211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20007294853211) 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, 10003647426606 + 10003647426607.

It is an arithmetic number, because the mean of its divisors is an integer number (10003647426607).

Almost surely, 220007294853213 is an apocalyptic number.

It is an amenable number.

20007294853213 is a deficient number, since it is larger than the sum of its proper divisors (1).

20007294853213 is an equidigital number, since it uses as much as digits as its factorization.

20007294853213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 20007294853213 in words is "twenty trillion, seven billion, two hundred ninety-four million, eight hundred fifty-three thousand, two hundred thirteen".