Search a number
-
+
2221122202013 = 1113193331245419
BaseRepresentation
bin100000010100100101001…
…100110010100110011101
321212100002211021120110202
4200110211030302212131
5242342324240431023
64420211445113245
7316320323131661
oct40244514624635
97770084246422
102221122202013
11786a7763aa90
122ba5753b8825
131315b28b3620
1479707cd48a1
153cb9a98c128
hex2052533299d

2221122202013 has 32 divisors (see below), whose sum is σ = 2747604518400. Its totient is φ = 1765242590400.

The previous prime is 2221122201989. The next prime is 2221122202037. The reversal of 2221122202013 is 3102022211222.

It is an interprime number because it is at equal distance from previous prime (2221122201989) and next prime (2221122202037).

It is a cyclic number.

It is not a de Polignac number, because 2221122202013 - 216 = 2221122136477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221122202813) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8927618 + ... + 9173036.

It is an arithmetic number, because the mean of its divisors is an integer number (85862641200).

Almost surely, 22221122202013 is an apocalyptic number.

It is an amenable number.

2221122202013 is a deficient number, since it is larger than the sum of its proper divisors (526482316387).

2221122202013 is a wasteful number, since it uses less digits than its factorization.

2221122202013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248793.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2221122202013 its reverse (3102022211222), we get a palindrome (5323144413235).

The spelling of 2221122202013 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred two thousand, thirteen".

Divisors: 1 11 13 19 143 209 247 2717 3331 36641 43303 63289 245419 476333 696179 822757 2699609 3190447 4662961 9050327 35094917 51292571 60618493 666803423 817490689 8992397579 10627378957 15532323091 116901168527 170855554001 201920200183 2221122202013