Search a number
-
+
23100121342993 is a prime number
BaseRepresentation
bin1010100000010011010101…
…00001101110010000010001
310000210100110011200222122111
411100021222201232100101
511011433022030433433
6121044014345305321
74602633353451112
oct520115241562021
9100710404628574
1023100121342993
1173a6785308682
122710b5ba95241
13cb74417ca656
1459c0a2360209
152a0d492d2dcd
hex15026a86e411

23100121342993 has 2 divisors, whose sum is σ = 23100121342994. Its totient is φ = 23100121342992.

The previous prime is 23100121342957. The next prime is 23100121343087. The reversal of 23100121342993 is 39924312100132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17316442657809 + 5783678685184 = 4161303^2 + 2404928^2 .

It is a cyclic number.

It is not a de Polignac number, because 23100121342993 - 233 = 23091531408401 is a prime.

It is a super-2 number, since 2×231001213429932 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (23100101342993) 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, 11550060671496 + 11550060671497.

It is an arithmetic number, because the mean of its divisors is an integer number (11550060671497).

Almost surely, 223100121342993 is an apocalyptic number.

It is an amenable number.

23100121342993 is a deficient number, since it is larger than the sum of its proper divisors (1).

23100121342993 is an equidigital number, since it uses as much as digits as its factorization.

23100121342993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 40.

The spelling of 23100121342993 in words is "twenty-three trillion, one hundred billion, one hundred twenty-one million, three hundred forty-two thousand, nine hundred ninety-three".