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114312523131301 = 1131773445797301
BaseRepresentation
bin11001111111011101110101…
…010101011010100110100101
3112222202011121021122111101011
4121333131311111122212211
5104440344021410200201
61043042240445102221
733035543613356245
oct3177356525324645
9488664537574334
10114312523131301
113347273a205a50
12109a2648857971
134ba2817553b51
142032a81697b25
15d337e74d4151
hex67f77555a9a5

114312523131301 has 32 divisors (see below), whose sum is σ = 128924072672256. Its totient is φ = 100414534080000.

The previous prime is 114312523131281. The next prime is 114312523131383. The reversal of 114312523131301 is 103131325213411.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 114312523131301 - 211 = 114312523129253 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114312523131101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1174785351 + ... + 1174882651.

It is an arithmetic number, because the mean of its divisors is an integer number (4028877271008).

Almost surely, 2114312523131301 is an apocalyptic number.

114312523131301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114312523131301 is a deficient number, since it is larger than the sum of its proper divisors (14611549540955).

114312523131301 is a wasteful number, since it uses less digits than its factorization.

114312523131301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102573.

The product of its (nonzero) digits is 6480, while the sum is 31.

Adding to 114312523131301 its reverse (103131325213411), we get a palindrome (217443848344712).

The spelling of 114312523131301 in words is "one hundred fourteen trillion, three hundred twelve billion, five hundred twenty-three million, one hundred thirty-one thousand, three hundred one".

Divisors: 1 11 31 341 773 4457 8503 23963 49027 97301 138167 263593 1070311 1519837 3016331 3445261 33179641 37897871 75213673 106803091 433670557 827350403 1174834001 2331623863 4770376127 13443787267 25647862493 147881659937 335227340561 3687500746171 10392047557391 114312523131301