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114350312901 = 31131338932983
BaseRepresentation
bin110101001111111001…
…1110100110111000101
3101221011021021202210010
41222133303310313011
53333142140003101
6124310512020433
711155464423306
oct1523763646705
9357137252703
10114350312901
114454a852630
121a1b3831719
13aa24884056
14576ac867ad
152e93eb92d6
hex1a9fcf4dc5

114350312901 has 32 divisors (see below), whose sum is σ = 171749007360. Its totient is φ = 67045809600.

The previous prime is 114350312849. The next prime is 114350312903. The reversal of 114350312901 is 109213053411.

It is not a de Polignac number, because 114350312901 - 218 = 114350050757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114350312903) 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 in 31 ways as a sum of consecutive naturals, for example, 3450456 + ... + 3483438.

It is an arithmetic number, because the mean of its divisors is an integer number (5367156480).

Almost surely, 2114350312901 is an apocalyptic number.

114350312901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114350312901 is a deficient number, since it is larger than the sum of its proper divisors (57398694459).

114350312901 is a wasteful number, since it uses less digits than its factorization.

114350312901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36417.

The product of its (nonzero) digits is 3240, while the sum is 30.

The spelling of 114350312901 in words is "one hundred fourteen billion, three hundred fifty million, three hundred twelve thousand, nine hundred one".

Divisors: 1 3 11 31 33 93 341 1023 3389 10167 32983 37279 98949 105059 111837 315177 362813 1022473 1088439 1155649 3067419 3466947 11247203 33741609 111779387 335338161 1229573257 3465160997 3688719771 10395482991 38116770967 114350312901