Search a number
-
+
22122101122 = 2113174111923
BaseRepresentation
bin10100100110100101…
…000111100110000010
32010002201122011201121
4110212211013212002
5330301224213442
614055053222454
71412130520432
oct244645074602
963081564647
1022122101122
119422393000
124354791a2a
132117233384
1410dc0862c2
158971eb967
hex526947982

22122101122 has 64 divisors (see below), whose sum is σ = 39591877248. Its totient is φ = 9232396800.

The previous prime is 22122101087. The next prime is 22122101123. The reversal of 22122101122 is 22110122122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22122101096 and 22122101105.

It is not an unprimeable number, because it can be changed into a prime (22122101123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1849453 + ... + 1861375.

It is an arithmetic number, because the mean of its divisors is an integer number (618623082).

Almost surely, 222122101122 is an apocalyptic number.

22122101122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22122101122 is a deficient number, since it is larger than the sum of its proper divisors (17469776126).

22122101122 is a wasteful number, since it uses less digits than its factorization.

22122101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12016 (or 11994 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22122101122 its reverse (22110122122), we get a palindrome (44232223244).

The spelling of 22122101122 in words is "twenty-two billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 11 17 22 34 41 82 121 187 242 374 451 697 902 1331 1394 2057 2662 4114 4961 7667 9922 11923 15334 22627 23846 45254 54571 84337 109142 131153 168674 202691 262306 405382 488843 927707 977686 1442683 1855414 2229601 2885366 4459202 5377273 8310331 10754546 15869513 16620662 24525611 31739026 49051222 59150003 91413641 118300006 182827282 269781721 539563442 650650033 1005550051 1301300066 2011100102 11061050561 22122101122