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104223322401 = 31129108906293
BaseRepresentation
bin110000100010000110…
…0011011000100100001
3100222000111120100102220
41201010030123010201
53201422132304101
6115513551301253
710346515423542
oct1410414330441
9328014510386
10104223322401
11402233917a0
121824821a829
139a9c792b93
145089d084c9
152a9edc4636
hex184431b121

104223322401 has 16 divisors (see below), whose sum is σ = 156825063360. Its totient is φ = 60987523520.

The previous prime is 104223322397. The next prime is 104223322409.

It is a happy number.

104223322401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 104223322401 - 22 = 104223322397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104223322409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54452190 + ... + 54454103.

It is an arithmetic number, because the mean of its divisors is an integer number (9801566460).

Almost surely, 2104223322401 is an apocalyptic number.

104223322401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104223322401 is a deficient number, since it is larger than the sum of its proper divisors (52601740959).

104223322401 is a wasteful number, since it uses less digits than its factorization.

104223322401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108906336.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 104223 and 322401, that added together give a palindrome (426624).

The spelling of 104223322401 in words is "one hundred four billion, two hundred twenty-three million, three hundred twenty-two thousand, four hundred one".

Divisors: 1 3 11 29 33 87 319 957 108906293 326718879 1197969223 3158282497 3593907669 9474847491 34741107467 104223322401