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21213414222 = 23711137149747
BaseRepresentation
bin10011110000011010…
…110000001101001110
32000202101210002122020
4103300122300031032
5321421113223342
613424553031010
71350455021460
oct236032601516
960671702566
1021213414222
118aa64680a0
1241403b5466
132000bb7a10
141053508130
158425560ec
hex4f06b034e

21213414222 has 128 divisors (see below), whose sum is σ = 57768173568. Its totient is φ = 5014396800.

The previous prime is 21213414217. The next prime is 21213414251. The reversal of 21213414222 is 22241431212.

It is a junction number, because it is equal to n+sod(n) for n = 21213414192 and 21213414201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 401553 + ... + 451299.

It is an arithmetic number, because the mean of its divisors is an integer number (451313856).

Almost surely, 221213414222 is an apocalyptic number.

21213414222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21213414222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28884086784).

21213414222 is an abundant number, since it is smaller than the sum of its proper divisors (36554759346).

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

21213414222 is a wasteful number, since it uses less digits than its factorization.

21213414222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49854.

The product of its digits is 1536, while the sum is 24.

Adding to 21213414222 its reverse (22241431212), we get a palindrome (43454845434).

The spelling of 21213414222 in words is "twenty-one billion, two hundred thirteen million, four hundred fourteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 71 77 78 91 142 143 154 182 213 231 273 286 426 429 462 497 546 781 858 923 994 1001 1491 1562 1846 2002 2343 2769 2982 3003 4686 5467 5538 6006 6461 10153 10934 12922 16401 19383 20306 30459 32802 38766 49747 60918 71071 99494 142142 149241 213213 298482 348229 426426 547217 646711 696458 1044687 1094434 1293422 1641651 1940133 2089374 3283302 3532037 3830519 3880266 4526977 7064074 7113821 7661038 9053954 10596111 11491557 13580931 14227642 21192222 21341463 22983114 24724259 27161862 38852407 42682926 45916481 49448518 49796747 74172777 77704814 91832962 99593494 116557221 137749443 148345554 149390241 233114442 271966849 275498886 298780482 321415367 505081291 543933698 642830734 815900547 964246101 1010162582 1515243873 1631801094 1928492202 3030487746 3535569037 7071138074 10606707111 21213414222