Search a number
-
+
21021102012222 = 23313761187121031
BaseRepresentation
bin1001100011110010110110…
…10100010111011100111110
32202102121010202001012222000
410301321123110113130332
510223402204103342342
6112412543322003130
74266503334641304
oct461713324273476
982377122035860
1021021102012222
116774aaa081054
1224360446464a6
13b96387360a30
145295d9090274
15266c18e9a44c
hex131e5b51773e

21021102012222 has 128 divisors (see below), whose sum is σ = 50402336624640. Its totient is φ = 6455772576000.

The previous prime is 21021102012181. The next prime is 21021102012293. The reversal of 21021102012222 is 22221020112012.

It is a happy number.

21021102012222 is a `hidden beast` number, since 210 + 21 + 10 + 201 + 2 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21021102012195 and 21021102012204.

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, 999518847 + ... + 999539877.

It is an arithmetic number, because the mean of its divisors is an integer number (393768254880).

Almost surely, 221021102012222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21021102012222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25201168312320).

21021102012222 is an abundant number, since it is smaller than the sum of its proper divisors (29381234612418).

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

21021102012222 is a wasteful number, since it uses less digits than its factorization.

21021102012222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23687 (or 23681 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21021102012222 its reverse (22221020112012), we get a palindrome (43242122124234).

The spelling of 21021102012222 in words is "twenty-one trillion, twenty-one billion, one hundred two million, twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 761 1522 1871 2283 3742 4566 5613 6849 9893 11226 13698 16839 19786 20547 21031 24323 29679 33678 41094 42062 48646 50517 59358 63093 72969 89037 101034 126186 145938 178074 189279 218907 267111 273403 378558 437814 534222 546806 567837 656721 820209 1135674 1313442 1423831 1640418 2460627 2847662 4271493 4921254 7381881 8542986 12814479 14763762 16004591 18509803 25628958 32009182 37019606 38443437 39349001 48013773 55529409 76886874 78698002 96027546 111058818 118047003 144041319 166588227 208059683 236094006 288082638 333176454 354141009 416119366 432123957 499764681 511537013 624179049 708282018 864247914 999529362 1023074026 1062423027 1248358098 1534611039 1872537147 2124846054 3069222078 3745074294 4603833117 5617611441 9207666234 11235222882 13811499351 27622998702 29944589761 59889179522 89833769283 179667538566 269501307849 389279666893 539002615698 778559333786 808503923547 1167839000679 1617007847094 2335678001358 3503517002037 7007034004074 10510551006111 21021102012222