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114213300032 = 2613137275601
BaseRepresentation
bin110101001011110100…
…1001010011101000000
3101220210201110210110102
41222113221022131000
53332402101100112
6124245135221532
711152212014006
oct1522751123500
9356721423412
10114213300032
114448a480857
121a1759778a8
13aa02381550
1457569bca76
152e86e52bc2
hex1a97a4a740

114213300032 has 28 divisors (see below), whose sum is σ = 244076020356. Its totient is φ = 52713830400.

The previous prime is 114213300029. The next prime is 114213300151. The reversal of 114213300032 is 230003312411.

It can be written as a sum of positive squares in 2 ways, for example, as 16053903616 + 98159396416 = 126704^2 + 313304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114213299977 and 114213300013.

It is a congruent number.

It is an unprimeable number.

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 in 3 ways as a sum of consecutive naturals, for example, 68636969 + ... + 68638632.

It is an arithmetic number, because the mean of its divisors is an integer number (8717000727).

Almost surely, 2114213300032 is an apocalyptic number.

It is an amenable number.

114213300032 is an abundant number, since it is smaller than the sum of its proper divisors (129862720324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114213300032 is a wasteful number, since it uses less digits than its factorization.

114213300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137275626 (or 137275616 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 114213300032 its reverse (230003312411), we get a palindrome (344216612443).

The spelling of 114213300032 in words is "one hundred fourteen billion, two hundred thirteen million, three hundred thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 137275601 274551202 549102404 1098204808 1784582813 2196409616 3569165626 4392819232 7138331252 8785638464 14276662504 28553325008 57106650016 114213300032