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106542043506223 = 1326416931023859
BaseRepresentation
bin11000001110011001000000…
…101010000010011000101111
3111222020022122012100012110121
4120032121000222002120233
5102431041101114144343
61014332423351145411
731304260105346023
oct3016310052023057
9458208565305417
10106542043506223
1130a47255017586
12bb4868a975267
13475ab43b73b30
141c4493b974383
15c4b60a47aaed
hex60e640a8262f

106542043506223 has 8 divisors (see below), whose sum is σ = 114738023346800. Its totient is φ = 98346126241728.

The previous prime is 106542043506167. The next prime is 106542043506253. The reversal of 106542043506223 is 322605340245601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106542043506223 is a prime.

It is a super-2 number, since 2×1065420435062232 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106542043506223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106542043506253) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12077733 + ... + 18946126.

It is an arithmetic number, because the mean of its divisors is an integer number (14342252918350).

Almost surely, 2106542043506223 is an apocalyptic number.

106542043506223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106542043506223 is a deficient number, since it is larger than the sum of its proper divisors (8195979840577).

106542043506223 is a wasteful number, since it uses less digits than its factorization.

106542043506223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31288041.

The product of its (nonzero) digits is 1036800, while the sum is 43.

The spelling of 106542043506223 in words is "one hundred six trillion, five hundred forty-two billion, forty-three million, five hundred six thousand, two hundred twenty-three".

Divisors: 1 13 264169 3434197 31023859 403310167 8195541808171 106542043506223