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22012321101012 = 22321183669718909
BaseRepresentation
bin1010000000101001001001…
…00101000111010011010100
32212221100122111122010202100
411000110210211013103110
510341122213200213022
6114452153135042100
74431223560116154
oct500244445072324
985840574563670
1022012321101012
117017411446430
122576175970330
13c389a3388008
1456158b232764
152828ce8b01ac
hex1405249474d4

22012321101012 has 72 divisors (see below), whose sum is σ = 61431976176480. Its totient is φ = 6590034054720.

The previous prime is 22012321100999. The next prime is 22012321101013. The reversal of 22012321101012 is 21010112321022.

22012321101012 is a `hidden beast` number, since 220 + 1 + 232 + 110 + 101 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012321101013) 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, 334826587 + ... + 334892322.

It is an arithmetic number, because the mean of its divisors is an integer number (853221891340).

Almost surely, 222012321101012 is an apocalyptic number.

22012321101012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22012321101012 is an abundant number, since it is smaller than the sum of its proper divisors (39419655075468).

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

22012321101012 is a wasteful number, since it uses less digits than its factorization.

22012321101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669719013 (or 669719008 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 22012321101012 its reverse (21010112321022), we get a palindrome (43022433422034).

The spelling of 22012321101012 in words is "twenty-two trillion, twelve billion, three hundred twenty-one million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 83 99 132 166 198 249 332 396 498 747 913 996 1494 1826 2739 2988 3652 5478 8217 10956 16434 32868 669718909 1339437818 2009156727 2678875636 4018313454 6027470181 7366907999 8036626908 12054940362 14733815998 22100723997 24109880724 29467631996 44201447994 55586669447 66302171991 88402895988 111173338894 132604343982 166760008341 222346677788 265208687964 333520016682 500280025023 611453363917 667040033364 1000560050046 1222906727834 1834360091751 2001120100092 2445813455668 3668720183502 5503080275253 7337440367004 11006160550506 22012321101012