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101112413251 is a prime number
BaseRepresentation
bin101111000101011000…
…1001111110001000011
3100122222200211210100111
41132022301033301003
53124034234211001
6114241141532151
710206442221553
oct1361261176103
9318880753314
10101112413251
11399773596a3
121771a414057
1396c5118535
144c72ab1163
15296bc23851
hex178ac4fc43

101112413251 has 2 divisors, whose sum is σ = 101112413252. Its totient is φ = 101112413250.

The previous prime is 101112413239. The next prime is 101112413291. The reversal of 101112413251 is 152314211101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101112413251 - 213 = 101112405059 is a prime.

It is a super-2 number, since 2×1011124132512 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101112413291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556206625 + 50556206626.

It is an arithmetic number, because the mean of its divisors is an integer number (50556206626).

Almost surely, 2101112413251 is an apocalyptic number.

101112413251 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112413251 is an equidigital number, since it uses as much as digits as its factorization.

101112413251 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 22.

Adding to 101112413251 its reverse (152314211101), we get a palindrome (253426624352).

The spelling of 101112413251 in words is "one hundred one billion, one hundred twelve million, four hundred thirteen thousand, two hundred fifty-one".