Search a number
-
+
122202221210201 = 1121013996975037
BaseRepresentation
bin11011110010010001101011…
…111111000110101001011001
3121000200102021220111201222102
4123302101223333012221121
5112004130122112211301
61111522531520133145
734511550650464556
oct3362215377065131
9530612256451872
10122202221210201
1135a34742082300
12118577387671b5
13532580a229a72
1422268949dda2d
15e1db60ab3b6b
hex6f246bfc6a59

122202221210201 has 12 divisors (see below), whose sum is σ = 134454047574756. Its totient is φ = 110983261007520.

The previous prime is 122202221210189. The next prime is 122202221210219. The reversal of 122202221210201 is 102012122202221.

It can be written as a sum of positive squares in 2 ways, for example, as 27728175720025 + 94474045490176 = 5265755^2 + 9719776^2 .

It is a de Polignac number, because none of the positive numbers 2k-122202221210201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122202221210291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 498364946 + ... + 498610091.

It is an arithmetic number, because the mean of its divisors is an integer number (11204503964563).

Almost surely, 2122202221210201 is an apocalyptic number.

122202221210201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122202221210201 is a deficient number, since it is larger than the sum of its proper divisors (12251826364555).

122202221210201 is a wasteful number, since it uses less digits than its factorization.

122202221210201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996976072 (or 996976061 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122202221210201 its reverse (102012122202221), we get a palindrome (224214343412422).

The spelling of 122202221210201 in words is "one hundred twenty-two trillion, two hundred two billion, two hundred twenty-one million, two hundred ten thousand, two hundred one".

Divisors: 1 11 121 1013 11143 122573 996975037 10966725407 120633979477 1009935712481 11109292837291 122202221210201