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20120222102201 = 135365344719853
BaseRepresentation
bin1001001001100100110101…
…01100001111001010111001
32122020110210212120002002122
410210302122230033022321
510114122203324232301
6110443034043011025
74144431601024364
oct444623254171271
978213725502078
1020120222102201
116457a359308a1
12230b525809a75
13b2c4374c3610
144d7b76c9b0db
1524d58e5ae81b
hex124c9ab0f2b9

20120222102201 has 16 divisors (see below), whose sum is σ = 22110569094096. Its totient is φ = 18194182346496.

The previous prime is 20120222102143. The next prime is 20120222102219. The reversal of 20120222102201 is 10220122202102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1614945348025 + 18505276754176 = 1270805^2 + 4301776^2 .

It is not a de Polignac number, because 20120222102201 - 242 = 15722175591097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20120222102201.

It is not an unprimeable number, because it can be changed into a prime (20120222122201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21910010 + ... + 22809843.

It is an arithmetic number, because the mean of its divisors is an integer number (1381910568381).

Almost surely, 220120222102201 is an apocalyptic number.

It is an amenable number.

20120222102201 is a deficient number, since it is larger than the sum of its proper divisors (1990346991895).

20120222102201 is a wasteful number, since it uses less digits than its factorization.

20120222102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44720572.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 20120222102201 its reverse (10220122202102), we get a palindrome (30340344304303).

Subtracting from 20120222102201 its reverse (10220122202102), we obtain a palindrome (9900099900099).

The spelling of 20120222102201 in words is "twenty trillion, one hundred twenty billion, two hundred twenty-two million, one hundred two thousand, two hundred one".

Divisors: 1 13 53 653 689 8489 34609 449917 44719853 581358089 2370152209 29202064009 30811978717 379626832117 1547709392477 20120222102201