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104344443401 = 11731011379391
BaseRepresentation
bin110000100101101101…
…0011101101000001001
3100222022221110221012212
41201023122131220021
53202144134142101
6115533555314505
710352516064152
oct1411332355011
9328287427185
10104344443401
11402857997a0
12182808aba35
139abb8c0103
14509c036929
152aaa84c1bb
hex184b69da09

104344443401 has 32 divisors (see below), whose sum is σ = 117395191296. Its totient is φ = 91946880000.

The previous prime is 104344443391. The next prime is 104344443403.

104344443401 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 104344443401 - 226 = 104277334537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104344443403) 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 31 ways as a sum of consecutive naturals, for example, 11106416 + ... + 11115806.

It is an arithmetic number, because the mean of its divisors is an integer number (3668599728).

Almost surely, 2104344443401 is an apocalyptic number.

104344443401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104344443401 is a deficient number, since it is larger than the sum of its proper divisors (13050747895).

104344443401 is a wasteful number, since it uses less digits than its factorization.

104344443401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9713.

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 104344 and 443401, that added together give a palindrome (547745).

The spelling of 104344443401 in words is "one hundred four billion, three hundred forty-four million, four hundred forty-three thousand, four hundred one".

Divisors: 1 11 73 101 137 803 1111 1507 7373 9391 10001 13837 81103 103301 110011 152207 685543 948491 1010101 1286567 7540973 10433401 11111111 14152237 69239843 93919391 129943267 761638273 1033113301 1429375937 9485858491 104344443401