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114145324501 = 13171851727893
BaseRepresentation
bin110101001001110010…
…1110110110111010101
3101220121222120021120011
41222103211312313111
53332232200341001
6124234310240221
711150425151425
oct1522345666725
9356558507504
10114145324501
114445507282a
121a157056071
13a9c1271340
14574b966485
152e80ec6d51
hex1a93976dd5

114145324501 has 16 divisors (see below), whose sum is σ = 130168355184. Its totient is φ = 99158068224.

The previous prime is 114145324477. The next prime is 114145324519. The reversal of 114145324501 is 105423541411.

It can be written as a sum of positive squares in 8 ways, for example, as 5409602500 + 108735722001 = 73550^2 + 329751^2 .

It is a cyclic number.

It is not a de Polignac number, because 114145324501 - 211 = 114145322453 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114145324591) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4078311 + ... + 4106203.

It is an arithmetic number, because the mean of its divisors is an integer number (8135522199).

Almost surely, 2114145324501 is an apocalyptic number.

It is an amenable number.

114145324501 is a deficient number, since it is larger than the sum of its proper divisors (16023030683).

114145324501 is a wasteful number, since it uses less digits than its factorization.

114145324501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46440.

The product of its (nonzero) digits is 9600, while the sum is 31.

Adding to 114145324501 its reverse (105423541411), we get a palindrome (219568865912).

The spelling of 114145324501 in words is "one hundred fourteen billion, one hundred forty-five million, three hundred twenty-four thousand, five hundred one".

Divisors: 1 13 17 221 18517 27893 240721 314789 362609 474181 4092257 6164353 516494681 6714430853 8780409577 114145324501