Search a number
-
+
104100001401 = 31140167311689
BaseRepresentation
bin110000011110011010…
…1111111011001111001
3100221200220111222211110
41200330311333121321
53201144100021101
6115453424150533
710343460261234
oct1407465773171
9327626458743
10104100001401
114016a811910
1218212a68449
139a80075486
1450777a641b
152a94164cd6
hex183cd7f679

104100001401 has 32 divisors (see below), whose sum is σ = 152034341760. Its totient is φ = 62834688000.

The previous prime is 104100001373. The next prime is 104100001451.

104100001401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 104100001401 - 26 = 104100001337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104100001451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8899965 + ... + 8911653.

It is an arithmetic number, because the mean of its divisors is an integer number (4751073180).

Almost surely, 2104100001401 is an apocalyptic number.

104100001401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104100001401 is a deficient number, since it is larger than the sum of its proper divisors (47934340359).

104100001401 is a wasteful number, since it uses less digits than its factorization.

104100001401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12777.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 10410000 and 1401, that added together give a palindrome (10411401).

The spelling of 104100001401 in words is "one hundred four billion, one hundred million, one thousand, four hundred one".

Divisors: 1 3 11 33 401 673 1203 2019 4411 7403 11689 13233 22209 35067 128579 269873 385737 809619 2968603 4687289 7866697 8905809 14061867 23600091 51560179 86533667 154680537 259601001 3154545497 9463636491 34700000467 104100001401