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105345231511 = 13192320119221
BaseRepresentation
bin110001000011100010…
…0001010101010010111
3101001220200122020102011
41202013010022222113
53211221334402021
6120221145525051
710416360456562
oct1420704125227
9331820566364
10105345231511
1140749700703
12184bbaa3787
139c1b044c20
145154d0b4d9
152b18636de1
hex188710aa97

105345231511 has 32 divisors (see below), whose sum is σ = 124687342080. Its totient is φ = 88065014400.

The previous prime is 105345231479. The next prime is 105345231527. The reversal of 105345231511 is 115132543501.

It is a cyclic number.

It is not a de Polignac number, because 105345231511 - 25 = 105345231479 is a prime.

It is a super-2 number, since 2×1053452315112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105345231581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11419881 + ... + 11429101.

It is an arithmetic number, because the mean of its divisors is an integer number (3896479440).

Almost surely, 2105345231511 is an apocalyptic number.

105345231511 is a deficient number, since it is larger than the sum of its proper divisors (19342110569).

105345231511 is a wasteful number, since it uses less digits than its factorization.

105345231511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11287.

The product of its (nonzero) digits is 9000, while the sum is 31.

The spelling of 105345231511 in words is "one hundred five billion, three hundred forty-five million, two hundred thirty-one thousand, five hundred eleven".

Divisors: 1 13 19 23 247 299 437 2011 5681 9221 26143 38209 46253 119873 175199 212083 496717 601289 878807 2277587 2757079 4029577 11424491 18543431 52384501 241064603 352325189 426498913 4580227457 5544485869 8103479347 105345231511