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12022100093 is a prime number
BaseRepresentation
bin10110011001001001…
…01011000001111101
31011000211200221222102
423030210223001331
5144110124200333
65304535154445
7603630110333
oct131444530175
934024627872
1012022100093
11510a186813
1223b6215a25
131197901ac3
14820931b53
154a5688ae8
hex2cc92b07d

12022100093 has 2 divisors, whose sum is σ = 12022100094. Its totient is φ = 12022100092.

The previous prime is 12022100059. The next prime is 12022100113. The reversal of 12022100093 is 39000122021.

12022100093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (12022100113) can be obtained adding 12022100093 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11829390169 + 192709924 = 108763^2 + 13882^2 .

It is a cyclic number.

It is not a de Polignac number, because 12022100093 - 26 = 12022100029 is a prime.

It is a super-2 number, since 2×120221000932 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12022100693) 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, 6011050046 + 6011050047.

It is an arithmetic number, because the mean of its divisors is an integer number (6011050047).

Almost surely, 212022100093 is an apocalyptic number.

It is an amenable number.

12022100093 is a deficient number, since it is larger than the sum of its proper divisors (1).

12022100093 is an equidigital number, since it uses as much as digits as its factorization.

12022100093 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 12022100093 in words is "twelve billion, twenty-two million, one hundred thousand, ninety-three".