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101311144331223 = 3193748037526947
BaseRepresentation
bin10111000010010001010110…
…110001010000011111010111
3111021201020202211200122222010
4113002101112301100133113
5101234340210422044343
6555245410332035303
730224326413106341
oct2702212661203727
9437636684618863
10101311144331223
112a30a8a6887362
12b442941302b33
13446b7a50305c8
141b036b24bc291
15baa506c93d33
hex5c2456c507d7

101311144331223 has 16 divisors (see below), whose sum is σ = 146034081921920. Its totient is φ = 62256634922016.

The previous prime is 101311144331213. The next prime is 101311144331239. The reversal of 101311144331223 is 322133441113101.

It is a happy number.

It is not a de Polignac number, because 101311144331223 - 25 = 101311144331191 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101311144331213) 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 15 ways as a sum of consecutive naturals, for example, 24018761365 + ... + 24018765582.

It is an arithmetic number, because the mean of its divisors is an integer number (9127130120120).

Almost surely, 2101311144331223 is an apocalyptic number.

101311144331223 is a deficient number, since it is larger than the sum of its proper divisors (44722937590697).

101311144331223 is a wasteful number, since it uses less digits than its factorization.

101311144331223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48037527006.

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 101311144331223 its reverse (322133441113101), we get a palindrome (423444585444324).

The spelling of 101311144331223 in words is "one hundred one trillion, three hundred eleven billion, one hundred forty-four million, three hundred thirty-one thousand, two hundred twenty-three".

Divisors: 1 3 19 37 57 111 703 2109 48037526947 144112580841 912713011993 1777388497039 2738139035979 5332165491117 33770381443741 101311144331223