Search a number
-
+
21220111220 = 22571121252663
BaseRepresentation
bin10011110000110100…
…010011001101110100
32000202212101100012012
4103300310103031310
5321424322024340
613425352343352
71350565653320
oct236064231564
960685340165
1021220111220
118aaa221700
1241426a4b58
1320023c1039
14105436c980
15842e2a565
hex4f0d13374

21220111220 has 72 divisors (see below), whose sum is σ = 55979048832. Its totient is φ = 6614055360.

The previous prime is 21220111181. The next prime is 21220111223. The reversal of 21220111220 is 2211102212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 21220111195 and 21220111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220111223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609392 + ... + 643271.

Almost surely, 221220111220 is an apocalyptic number.

21220111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220111220 is an abundant number, since it is smaller than the sum of its proper divisors (34758937612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21220111220 is a wasteful number, since it uses less digits than its factorization.

21220111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252701 (or 1252688 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21220111220 its reverse (2211102212), we get a palindrome (23431213432).

The spelling of 21220111220 in words is "twenty-one billion, two hundred twenty million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1540 1694 2420 3388 4235 8470 16940 1252663 2505326 5010652 6263315 8768641 12526630 13779293 17537282 25053260 27558586 35074564 43843205 55117172 68896465 87686410 96455051 137792930 151572223 175372820 192910102 275585860 303144446 385820204 482275255 606288892 757861115 964550510 1061005561 1515722230 1929101020 2122011122 3031444460 4244022244 5305027805 10610055610 21220111220