Search a number
-
+
11200212102221 = 1710191131757131
BaseRepresentation
bin1010001011111100000010…
…1010011110110001001101
31110122201201001001021100122
42202333000222132301031
52432001013244232341
635453150103434325
72234121461031212
oct242770052366115
943581631037318
1011200212102221
113628a8a8196aa
12130a8144559a5
13633238676bac
142aa1438a9b09
1514652357894b
hexa2fc0a9ec4d

11200212102221 has 16 divisors (see below), whose sum is σ = 11871942759360. Its totient is φ = 10529916407040.

The previous prime is 11200212102199. The next prime is 11200212102229. The reversal of 11200212102221 is 12220121200211.

11200212102221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11200212102221 is a prime.

It is a super-2 number, since 2×112002121022212 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 11200212102221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200212102229) 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, 196015826 + ... + 196072956.

It is an arithmetic number, because the mean of its divisors is an integer number (741996422460).

Almost surely, 211200212102221 is an apocalyptic number.

It is an amenable number.

11200212102221 is a deficient number, since it is larger than the sum of its proper divisors (671730657139).

11200212102221 is a wasteful number, since it uses less digits than its factorization.

11200212102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69484.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11200212102221 its reverse (12220121200211), we get a palindrome (23420333302432).

The spelling of 11200212102221 in words is "eleven trillion, two hundred billion, two hundred twelve million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 17 1019 11317 17323 57131 192389 971227 11532023 58216489 196044391 646551527 989680313 10991375959 658836006013 11200212102221