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105343226556 = 22379111121547
BaseRepresentation
bin110001000011011110…
…0100001001010111100
3101001220112212101010120
41202012330201022330
53211220331222211
6120221034534540
710416334436331
oct1420674411274
9331815771116
10105343226556
1140748561317
12184bb297450
139c1a7c2469
145154948988
152b1838cd06
hex1886f212bc

105343226556 has 24 divisors (see below), whose sum is σ = 248912267520. Its totient is φ = 34669922352.

The previous prime is 105343226539. The next prime is 105343226561. The reversal of 105343226556 is 655622343501.

It is a happy number.

It is a super-2 number, since 2×1053432265562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 55559826 + ... + 55561721.

It is an arithmetic number, because the mean of its divisors is an integer number (10371344480).

Almost surely, 2105343226556 is an apocalyptic number.

It is an amenable number.

105343226556 is an abundant number, since it is smaller than the sum of its proper divisors (143569040964).

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

105343226556 is a wasteful number, since it uses less digits than its factorization.

105343226556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111121633 (or 111121631 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 105343226556 in words is "one hundred five billion, three hundred forty-three million, two hundred twenty-six thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 12 79 158 237 316 474 948 111121547 222243094 333364641 444486188 666729282 1333458564 8778602213 17557204426 26335806639 35114408852 52671613278 105343226556