Search a number
-
+
22103483351040 = 21733572133753
BaseRepresentation
bin1010000011010010111100…
…10001100000000000000000
32220021001221202111021012000
411001221132101200000000
510344120413214213130
6115002111114304000
74440631631343600
oct501513621400000
986231852437160
1022103483351040
11705204212a133
12258b977a28000
13c44470c150b0
14565b58634c00
15284e67cbc260
hex141a5e460000

22103483351040 has 3456 divisors, whose sum is σ = 103021947342720. Its totient is φ = 4451934928896.

The previous prime is 22103483351009. The next prime is 22103483351069. The reversal of 22103483351040 is 4015338430122.

22103483351040 is a `hidden beast` number, since 2 + 2 + 103 + 4 + 8 + 33 + 510 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22103483350986 and 22103483351004.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 417046855654 + ... + 417046855706.

It is an arithmetic number, because the mean of its divisors is an integer number (29809591245).

Almost surely, 222103483351040 is an apocalyptic number.

22103483351040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22103483351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51510973671360).

22103483351040 is an abundant number, since it is smaller than the sum of its proper divisors (80918463991680).

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

22103483351040 is an equidigital number, since it uses as much as digits as its factorization.

22103483351040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 22103483351040 in words is "twenty-two trillion, one hundred three billion, four hundred eighty-three million, three hundred fifty-one thousand, forty".