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22120100000093 is a prime number
BaseRepresentation
bin1010000011110001111001…
…01100111111000101011101
32220022122211210122111110102
411001320330230333011131
510344403431100000333
6115013500022550445
74442060461464554
oct501707454770535
986278753574412
1022120100000093
117059099864547
122593034898425
13c45bbb676004
14566893444d9b
152855db9bdae8
hex141e3cb3f15d

22120100000093 has 2 divisors, whose sum is σ = 22120100000094. Its totient is φ = 22120100000092.

The previous prime is 22120100000081. The next prime is 22120100000143. The reversal of 22120100000093 is 39000000102122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21965841153529 + 154258846564 = 4686773^2 + 392758^2 .

It is a cyclic number.

It is not a de Polignac number, because 22120100000093 - 216 = 22120099934557 is a prime.

It is a super-2 number, since 2×221201000000932 (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22120100000293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11060050000046 + 11060050000047.

It is an arithmetic number, because the mean of its divisors is an integer number (11060050000047).

Almost surely, 222120100000093 is an apocalyptic number.

It is an amenable number.

22120100000093 is a deficient number, since it is larger than the sum of its proper divisors (1).

22120100000093 is an equidigital number, since it uses as much as digits as its factorization.

22120100000093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The spelling of 22120100000093 in words is "twenty-two trillion, one hundred twenty billion, one hundred million, ninety-three", and thus it is an aban number.