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106567322226 = 23371672874449
BaseRepresentation
bin110001100111111101…
…0000100101001110010
3101012001212012212201020
41203033322010221302
53221222213302401
6120542323320310
710461560202351
oct1431772045162
9335055185636
10106567322226
1141216525532
12187a1220096
13a0842a2321
14522d34b998
152b8aa87d36
hex18cfe84a72

106567322226 has 32 divisors (see below), whose sum is σ = 220205865600. Its totient is φ = 34355402496.

The previous prime is 106567322117. The next prime is 106567322231. The reversal of 106567322226 is 622223765601.

It is a happy number.

106567322226 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1065673222262 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1400151 + ... + 1474298.

It is an arithmetic number, because the mean of its divisors is an integer number (6881433300).

Almost surely, 2106567322226 is an apocalyptic number.

106567322226 is an abundant number, since it is smaller than the sum of its proper divisors (113638543374).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106567322226 is a wasteful number, since it uses less digits than its factorization.

106567322226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874658.

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 106567322226 in words is "one hundred six billion, five hundred sixty-seven million, three hundred twenty-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 37 74 111 167 222 334 501 1002 6179 12358 18537 37074 2874449 5748898 8623347 17246694 106354613 212709226 319063839 480032983 638127678 960065966 1440098949 2880197898 17761220371 35522440742 53283661113 106567322226