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93122222100157 is a prime number
BaseRepresentation
bin10101001011000110110100…
…111110000000111010111101
3110012201101201202210112202201
4111023012310332000322331
544201203302324201112
6530015431440551501
725420600321450405
oct2513066476007275
9405641652715681
1093122222100157
1127742a04758768
12a53b863922591
133cc65071a3653
1418dd1d50b3805
15ab74c91ab257
hex54b1b4f80ebd

93122222100157 has 2 divisors, whose sum is σ = 93122222100158. Its totient is φ = 93122222100156.

The previous prime is 93122222100107. The next prime is 93122222100163. The reversal of 93122222100157 is 75100122222139.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92707838937081 + 414383163076 = 9628491^2 + 643726^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-93122222100157 is a prime.

It is a super-3 number, since 3×931222221001573 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (93122222100107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 46561111050078 + 46561111050079.

It is an arithmetic number, because the mean of its divisors is an integer number (46561111050079).

Almost surely, 293122222100157 is an apocalyptic number.

It is an amenable number.

93122222100157 is a deficient number, since it is larger than the sum of its proper divisors (1).

93122222100157 is an equidigital number, since it uses as much as digits as its factorization.

93122222100157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 93122222100157 in words is "ninety-three trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred thousand, one hundred fifty-seven".