Search a number
-
+
22010120110000 = 245411832410747
BaseRepresentation
bin1010000000100101000010…
…11000111111111110110000
32212221010222010002012200201
411000102201120333332300
510341103211222010000
6114451150512124544
74431115203031561
oct500224130777660
985833863065621
1022010120110000
117016491aaa2a0
122575860836754
13c3871239a579
1456141cbb8168
1528280154996a
hex1404a163ffb0

22010120110000 has 200 divisors, whose sum is σ = 58833552786624. Its totient is φ = 7907246880000.

The previous prime is 22010120109983. The next prime is 22010120110007. The reversal of 22010120110000 is 1102101022.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (22010120110007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7924627 + ... + 10335373.

Almost surely, 222010120110000 is an apocalyptic number.

22010120110000 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 22010120110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29416776393312).

22010120110000 is an abundant number, since it is smaller than the sum of its proper divisors (36823432676624).

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

22010120110000 is a wasteful number, since it uses less digits than its factorization.

22010120110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410869 (or 2410848 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 22010120110000 its reverse (1102101022), we get a palindrome (22011222211022).

The spelling of 22010120110000 in words is "twenty-two trillion, ten billion, one hundred twenty million, one hundred ten thousand".