Search a number
-
+
21022012002222 = 2327113125350387
BaseRepresentation
bin1001100011110100100011…
…00011101100111110101110
32202102200111011100111120100
410301322101203230332232
510223411040033032342
6112413213510131530
74266535024505340
oct461722143547656
982380434314510
1021022012002222
116775426807000
122436259350ba6
13b964a0a4455a
14529683c8b290
15266c6dcebe4c
hex131e918ecfae

21022012002222 has 96 divisors (see below), whose sum is σ = 57256046025984. Its totient is φ = 5460262814160.

The previous prime is 21022012002179. The next prime is 21022012002283. The reversal of 21022012002222 is 22220021022012.

21022012002222 is a `hidden beast` number, since 21 + 0 + 220 + 1 + 200 + 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 = 21022012002195 and 21022012002204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62507488 + ... + 62842899.

It is an arithmetic number, because the mean of its divisors is an integer number (596417146104).

Almost surely, 221022012002222 is an apocalyptic number.

21022012002222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21022012002222 is an abundant number, since it is smaller than the sum of its proper divisors (36234034023762).

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

21022012002222 is a wasteful number, since it uses less digits than its factorization.

21022012002222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125350435 (or 125350410 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21022012002222 its reverse (22220021022012), we get a palindrome (43242033024234).

The spelling of 21022012002222 in words is "twenty-one trillion, twenty-two billion, twelve million, two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 363 462 693 726 847 1089 1331 1386 1694 2178 2541 2662 3993 5082 7623 7986 9317 11979 15246 18634 23958 27951 55902 83853 167706 125350387 250700774 376051161 752102322 877452709 1128153483 1378854257 1754905418 2256306966 2632358127 2757708514 4136562771 5264716254 7897074381 8273125542 9651979799 12409688313 15167396827 15794148762 19303959598 24819376626 28955939397 30334793654 45502190481 57911878794 86867818191 91004380962 106171777789 136506571443 166841365097 173735636382 212343555578 273013142886 318515333367 333682730194 500524095291 637030666734 955546000101 1001048190582 1167889555679 1501572285873 1911092000202 2335779111358 3003144571746 3503668667037 7007337334074 10511006001111 21022012002222