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114300134431 = 719245231553
BaseRepresentation
bin110101001110011010…
…0011010010000011111
3101221000202212102212021
41222130310122100133
53333041313300211
6124301520321011
711154315053350
oct1523464322037
9357022772767
10114300134431
114452449a81a
121a19aa73167
13aa17365652
145764343d27
152e8e8a6771
hex1a9cd1a41f

114300134431 has 12 divisors (see below), whose sum is σ = 137865776592. Its totient is φ = 92815144704.

The previous prime is 114300134413. The next prime is 114300134467. The reversal of 114300134431 is 134431003411.

It is a happy number.

It is not a de Polignac number, because 114300134431 - 221 = 114298037279 is a prime.

It is a super-2 number, since 2×1143001344312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114300134396 and 114300134405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114300434431) 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 in 11 ways as a sum of consecutive naturals, for example, 22613250 + ... + 22618303.

It is an arithmetic number, because the mean of its divisors is an integer number (11488814716).

Almost surely, 2114300134431 is an apocalyptic number.

114300134431 is a deficient number, since it is larger than the sum of its proper divisors (23565642161).

114300134431 is an equidigital number, since it uses as much as digits as its factorization.

114300134431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45231598 (or 45231579 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 114300134431 its reverse (134431003411), we get a palindrome (248731137842).

The spelling of 114300134431 in words is "one hundred fourteen billion, three hundred million, one hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 7 19 133 361 2527 45231553 316620871 859399507 6015796549 16328590633 114300134431