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114313524104013 = 3133023969605029
BaseRepresentation
bin11001111111011110110000…
…111111110100101101001101
3112222202021012001011011210120
4121333132300333310231031
5104440403044132312023
61043042524043255153
733035610456451113
oct3177366077645515
9488667161134716
10114313524104013
1133473103233623
12109a2887b1a4b9
134ba2946a419b0
142032b385b9ab3
15d338553088e3
hex67f7b0ff4b4d

114313524104013 has 16 divisors (see below), whose sum is σ = 164196794200320. Its totient is φ = 70323513470784.

The previous prime is 114313524103937. The next prime is 114313524104053. The reversal of 114313524104013 is 310401425313411.

It is a happy number.

It is not a de Polignac number, because 114313524104013 - 29 = 114313524103501 is a prime.

It is a super-2 number, since 2×1143135241040132 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114313524104053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 484684618 + ... + 484920411.

It is an arithmetic number, because the mean of its divisors is an integer number (10262299637520).

Almost surely, 2114313524104013 is an apocalyptic number.

114313524104013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

114313524104013 is a deficient number, since it is larger than the sum of its proper divisors (49883270096307).

114313524104013 is a wasteful number, since it uses less digits than its factorization.

114313524104013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969608068.

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 114313524104013 its reverse (310401425313411), we get a palindrome (424714949417424).

The spelling of 114313524104013 in words is "one hundred fourteen trillion, three hundred thirteen billion, five hundred twenty-four million, one hundred four thousand, thirteen".

Divisors: 1 3 13 39 3023 9069 39299 117897 969605029 2908815087 12604865377 37814596131 2931116002667 8793348008001 38104508034671 114313524104013