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71112016107 = 3211171371791723
BaseRepresentation
bin100001000111010011…
…0110100000011101011
320210112220210201012100
41002032212310003223
52131114134003412
652400213144443
75065136110056
oct1021646640353
9223486721170
1071112016107
1128181974250
121194732b123
136923944752
1436285a1a9d
151cb306bedc
hex108e9b40eb

71112016107 has 96 divisors (see below), whose sum is σ = 120250241280. Its totient is φ = 40018728960.

The previous prime is 71112016057. The next prime is 71112016117. The reversal of 71112016107 is 70161021117.

It is not a de Polignac number, because 71112016107 - 26 = 71112016043 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71112016117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41271348 + ... + 41273070.

It is an arithmetic number, because the mean of its divisors is an integer number (1252606680).

Almost surely, 271112016107 is an apocalyptic number.

71112016107 is a deficient number, since it is larger than the sum of its proper divisors (49138225173).

71112016107 is a wasteful number, since it uses less digits than its factorization.

71112016107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 27.

The spelling of 71112016107 in words is "seventy-one billion, one hundred twelve million, sixteen thousand, one hundred seven".

Divisors: 1 3 9 11 17 33 51 99 137 153 179 187 411 537 561 1233 1507 1611 1683 1723 1969 2329 3043 4521 5169 5907 6987 9129 13563 15507 17721 18953 20961 24523 25619 27387 29291 33473 56859 73569 76857 87873 100419 170577 220707 230571 236051 263619 269753 301257 308417 322201 416891 708153 809259 925251 966603 1250673 2124459 2427777 2596561 2775753 2899809 3392587 3752019 4012867 4585801 5243089 7789683 10177761 12038601 13757403 15729267 23369049 30533283 36115803 41272209 42253129 44141537 47187801 57673979 126759387 132424611 173021937 380278161 397273833 464784419 519065811 718303193 1394353257 2154909579 4183059771 6464728737 7901335123 23704005369 71112016107