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104122221401 = 11172437228479
BaseRepresentation
bin110000011111000101…
…0110000001101011001
3100221202110022212221102
41200332022300031121
53201220242041101
6115455540321145
710344150164462
oct1407612601531
9327673285842
10104122221401
1140181309050
121821a3a31b5
139a848551c3
14507a70bd69
152a960a386b
hex183e2b0359

104122221401 has 16 divisors (see below), whose sum is σ = 120319395840. Its totient is φ = 89051585280.

The previous prime is 104122221377. The next prime is 104122221403.

104122221401 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-104122221401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104122221403) 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, 341480 + ... + 569958.

It is an arithmetic number, because the mean of its divisors is an integer number (7519962240).

Almost surely, 2104122221401 is an apocalyptic number.

104122221401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104122221401 is a deficient number, since it is larger than the sum of its proper divisors (16197174439).

104122221401 is a wasteful number, since it uses less digits than its factorization.

104122221401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230944.

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 104122 and 221401, that added together give a palindrome (325523).

The spelling of 104122221401 in words is "one hundred four billion, one hundred twenty-two million, two hundred twenty-one thousand, four hundred one".

Divisors: 1 11 17 187 2437 26807 41429 228479 455719 2513269 3884143 42725573 556803323 6124836553 9465656491 104122221401