Search a number
-
+
12210120212893 is a prime number
BaseRepresentation
bin1011000110101110001111…
…1000001100000110011101
31121020021110021022212111121
42301223203320030012131
53100022311233303033
641545130215250541
72400103106240251
oct261534370140635
947207407285447
1012210120212893
1139883125a7809
1214524a0679a51
136a7542598cc5
14302d89b96261
1516292ea9b62d
hexb1ae3e0c19d

12210120212893 has 2 divisors, whose sum is σ = 12210120212894. Its totient is φ = 12210120212892.

The previous prime is 12210120212833. The next prime is 12210120212921. The reversal of 12210120212893 is 39821202101221.

12210120212893 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11943092750884 + 267027462009 = 3455878^2 + 516747^2 .

It is a cyclic number.

It is not a de Polignac number, because 12210120212893 - 217 = 12210120081821 is a prime.

It is a super-2 number, since 2×122101202128932 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12210120212833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105060106446 + 6105060106447.

It is an arithmetic number, because the mean of its divisors is an integer number (6105060106447).

Almost surely, 212210120212893 is an apocalyptic number.

It is an amenable number.

12210120212893 is a deficient number, since it is larger than the sum of its proper divisors (1).

12210120212893 is an equidigital number, since it uses as much as digits as its factorization.

12210120212893 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 12210120212893 in words is "twelve trillion, two hundred ten billion, one hundred twenty million, two hundred twelve thousand, eight hundred ninety-three".