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114113334781 is a prime number
BaseRepresentation
bin110101001000110101…
…1110100110111111101
3101220112202101000220201
41222101223310313331
53332201003203111
6124231204443501
711146556225065
oct1522153646775
9356482330821
10114113334781
1144439003446
121a1483a9591
13a9b7750804
1457475da3a5
152e7d2a86c1
hex1a91af4dfd

114113334781 has 2 divisors, whose sum is σ = 114113334782. Its totient is φ = 114113334780.

The previous prime is 114113334773. The next prime is 114113334787. The reversal of 114113334781 is 187433311411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113372950681 + 740384100 = 336709^2 + 27210^2 .

It is a cyclic number.

It is not a de Polignac number, because 114113334781 - 23 = 114113334773 is a prime.

It is a super-2 number, since 2×1141133347812 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114113334781.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114113334787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57056667390 + 57056667391.

It is an arithmetic number, because the mean of its divisors is an integer number (57056667391).

Almost surely, 2114113334781 is an apocalyptic number.

It is an amenable number.

114113334781 is a deficient number, since it is larger than the sum of its proper divisors (1).

114113334781 is an equidigital number, since it uses as much as digits as its factorization.

114113334781 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24192, while the sum is 37.

The spelling of 114113334781 in words is "one hundred fourteen billion, one hundred thirteen million, three hundred thirty-four thousand, seven hundred eighty-one".