Search a number
-
+
22120310220201 = 3225754117677397
BaseRepresentation
bin1010000011110010010010…
…01110111010010110101001
32220022200101110012210020100
411001321021032322112221
510344404343404021301
6115013532532420013
74442065623356304
oct501711116722651
986280343183210
1022120310220201
117059197497a76
122593093177609
13c45c2309b0cb
145668b3327b3b
15285600196286
hex141e493ba5a9

22120310220201 has 24 divisors (see below), whose sum is σ = 32135176147464. Its totient is φ = 14662339338240.

The previous prime is 22120310220199. The next prime is 22120310220257. The reversal of 22120310220201 is 10202201302122.

22120310220201 is a `hidden beast` number, since 2 + 212 + 0 + 31 + 0 + 220 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15923451776400 + 6196858443801 = 3990420^2 + 2489349^2 .

It is not a de Polignac number, because 22120310220201 - 21 = 22120310220199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22120310200201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7587366 + ... + 10090031.

It is an arithmetic number, because the mean of its divisors is an integer number (1338965672811).

Almost surely, 222120310220201 is an apocalyptic number.

It is an amenable number.

22120310220201 is a deficient number, since it is larger than the sum of its proper divisors (10014865927263).

22120310220201 is a wasteful number, since it uses less digits than its factorization.

22120310220201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17678201 (or 17678198 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22120310220201 its reverse (10202201302122), we get a palindrome (32322511522323).

The spelling of 22120310220201 in words is "twenty-two trillion, one hundred twenty billion, three hundred ten million, two hundred twenty thousand, two hundred one".

Divisors: 1 3 9 257 541 771 1623 2313 4869 139037 417111 1251333 17677397 53032191 159096573 4543091029 9563471777 13629273087 28690415331 40887819261 86071245993 2457812246689 7373436740067 22120310220201