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104420024401 = 7116012256413
BaseRepresentation
bin110000100111111101…
…0110010000001010001
3100222112012200211212011
41201033322302001101
53202323011240101
6115545255302521
710354424364010
oct1411772620121
9328465624764
10104420024401
1140314421930
12182a207aa41
139b01463cb4
1450a80aca77
152ab22cb751
hex184feb2051

104420024401 has 16 divisors (see below), whose sum is σ = 130402677888. Its totient is φ = 81230832000.

The previous prime is 104420024393. The next prime is 104420024407.

104420024401 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 104420024401 - 23 = 104420024393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104420024407) 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 15 ways as a sum of consecutive naturals, for example, 1081930 + ... + 1174483.

It is an arithmetic number, because the mean of its divisors is an integer number (8150167368).

Almost surely, 2104420024401 is an apocalyptic number.

104420024401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104420024401 is a deficient number, since it is larger than the sum of its proper divisors (25982653487).

104420024401 is a wasteful number, since it uses less digits than its factorization.

104420024401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257032.

The product of its (nonzero) digits is 1024, while the sum is 22.

It can be divided in two parts, 1044200 and 24401, that added together give a palindrome (1068601).

The spelling of 104420024401 in words is "one hundred four billion, four hundred twenty million, twenty-four thousand, four hundred one".

Divisors: 1 7 11 77 601 4207 6611 46277 2256413 15794891 24820543 173743801 1356104213 9492729491 14917146343 104420024401