Search a number
-
+
21223110312292 = 2277159319319323
BaseRepresentation
bin1001101001101011000111…
…11100111000000101100100
32210010220120001022010020111
410310311203330320011210
510240204412214443132
6113045432352542404
74320214313106460
oct464654374700544
983126501263214
1021223110312292
116842741538879
122469220851a04
13bac43b772135
145352bdb8b4a0
1526c0dd8c1647
hex134d63f38164

21223110312292 has 96 divisors (see below), whose sum is σ = 43143597471744. Its totient is φ = 8946793228800.

The previous prime is 21223110312223. The next prime is 21223110312301. The reversal of 21223110312292 is 29221301132212.

It is a super-2 number, since 2×212231103122922 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2276420343 + ... + 2276429665.

It is an arithmetic number, because the mean of its divisors is an integer number (449412473664).

Almost surely, 221223110312292 is an apocalyptic number.

It is an amenable number.

21223110312292 is an abundant number, since it is smaller than the sum of its proper divisors (21920487159452).

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

21223110312292 is a wasteful number, since it uses less digits than its factorization.

21223110312292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11929 (or 11927 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 21223110312292 in words is "twenty-one trillion, two hundred twenty-three billion, one hundred ten million, three hundred twelve thousand, two hundred ninety-two".

Divisors: 1 2 4 7 14 28 71 142 284 497 593 994 1186 1931 1988 2372 3862 4151 7724 8302 9323 13517 16604 18646 27034 37292 42103 54068 65261 84206 130522 137101 168412 261044 274202 294721 548404 589442 661933 959707 1145083 1178884 1323866 1919414 2290166 2647732 3838828 4580332 4633531 5528539 8015581 9267062 11057078 16031162 18002713 18534124 22114156 32062324 36005426 38699773 72010852 77399546 81300893 126018991 154799092 162601786 252037982 325203572 392526269 504075964 569106251 785052538 1138212502 1278192623 1570105076 2276425004 2556385246 2747683883 5112770492 5495367766 8947348361 10675608809 10990735532 17894696722 21351217618 35789393444 42702435236 74729261663 149458523326 298917046652 757968225439 1515936450878 3031872901756 5305777578073 10611555156146 21223110312292