Search a number
-
+
4223100013020 = 22325729317443823
BaseRepresentation
bin111101011101000100011…
…000000100100111011100
3112221201120002201122002100
4331131010120010213130
51023142402100404040
612552022041325100
7614052232554630
oct75350430044734
915851502648070
104223100013020
111389008952519
1258256b796790
1324830cb23465
14108583304dc0
1574cbc3e7b30
hex3d7446049dc

4223100013020 has 576 divisors, whose sum is σ = 15245482936320. Its totient is φ = 925830936576.

The previous prime is 4223100012973. The next prime is 4223100013091. The reversal of 4223100013020 is 203100013224.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4223100012984 and 4223100013002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5131348329 + ... + 5131349151.

It is an arithmetic number, because the mean of its divisors is an integer number (26467852320).

Almost surely, 24223100013020 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 4223100013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7622741468160).

4223100013020 is an abundant number, since it is smaller than the sum of its proper divisors (11022382923300).

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

4223100013020 is a wasteful number, since it uses less digits than its factorization.

4223100013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 4223100013020 its reverse (203100013224), we get a palindrome (4426200026244).

The spelling of 4223100013020 in words is "four trillion, two hundred twenty-three billion, one hundred million, thirteen thousand, twenty".