Search a number
-
+
104221424032 = 251129412271097
BaseRepresentation
bin110000100010000010…
…1001011100110100000
3100222000100222220100221
41201010011023212200
53201421141032112
6115513442452424
710346463326125
oct1410405134640
9328010886327
10104221424032
11402223054a0
1218247664114
139a9c279a9b
14508997274c
152a9eb4be07
hex184414b9a0

104221424032 has 192 divisors, whose sum is σ = 238467680640. Its totient is φ = 44387123200.

The previous prime is 104221424023. The next prime is 104221424053. The reversal of 104221424032 is 230424122401.

It is a junction number, because it is equal to n+sod(n) for n = 104221423988 and 104221424006.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 95005308 + ... + 95006404.

It is an arithmetic number, because the mean of its divisors is an integer number (1242019170).

Almost surely, 2104221424032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104221424032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119233840320).

104221424032 is an abundant number, since it is smaller than the sum of its proper divisors (134246256608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104221424032 is a wasteful number, since it uses less digits than its factorization.

104221424032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 104221424032 its reverse (230424122401), we get a palindrome (334645546433).

The spelling of 104221424032 in words is "one hundred four billion, two hundred twenty-one million, four hundred twenty-four thousand, thirty-two".