Search a number
-
+
22120111332 = 223211327117077
BaseRepresentation
bin10100100110011101…
…100001110011100100
32010002120220002020200
4110212131201303210
5330300222030312
614054542430500
71412104562334
oct244635416344
963076802220
1022120111332
119421254050
124353b92430
1321169b7797
1410dbac90c4
15896e570dc
hex526761ce4

22120111332 has 72 divisors (see below), whose sum is σ = 61020103872. Its totient is φ = 6700622400.

The previous prime is 22120111271. The next prime is 22120111337. The reversal of 22120111332 is 23311102122.

22120111332 is a `hidden beast` number, since 221 + 2 + 0 + 111 + 332 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22120111337) 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, 1286778 + ... + 1303854.

Almost surely, 222120111332 is an apocalyptic number.

22120111332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22120111332 is an abundant number, since it is smaller than the sum of its proper divisors (38899992540).

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

22120111332 is a wasteful number, since it uses less digits than its factorization.

22120111332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20369 (or 20364 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22120111332 its reverse (23311102122), we get a palindrome (45431213454).

The spelling of 22120111332 in words is "twenty-two billion, one hundred twenty million, one hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 3271 6542 9813 13084 17077 19626 29439 34154 35981 39252 51231 58878 68308 71962 102462 107943 117756 143924 153693 187847 204924 215886 307386 323829 375694 431772 563541 614772 647658 751388 1127082 1295316 1690623 2254164 3381246 6762492 55858867 111717734 167576601 223435468 335153202 502729803 614447537 670306404 1005459606 1228895074 1843342611 2010919212 2457790148 3686685222 5530027833 7373370444 11060055666 22120111332