Search a number
-
+
22021220012001 = 3719312776427277
BaseRepresentation
bin1010000000111001101101…
…11111110000111111100001
32212222012121200111122201020
411000130312333300333201
510341243424310341001
6114500224145400053
74431660234451110
oct500346677607741
985865550448636
1022021220012001
117020168671a21
122577a3a039029
13c39790c02c12
14561b93051c77
15282c50c6e736
hex140736ff0fe1

22021220012001 has 64 divisors (see below), whose sum is σ = 36593321656320. Its totient is φ = 11495054580480.

The previous prime is 22021220011949. The next prime is 22021220012041. The reversal of 22021220012001 is 10021002212022.

It is not a de Polignac number, because 22021220012001 - 222 = 22021215817697 is a prime.

It is a super-4 number, since 4×220212200120014 (a number of 54 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (22021220012041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212575 + ... + 6639851.

It is an arithmetic number, because the mean of its divisors is an integer number (571770650880).

Almost surely, 222021220012001 is an apocalyptic number.

22021220012001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22021220012001 is a deficient number, since it is larger than the sum of its proper divisors (14572101644319).

22021220012001 is a wasteful number, since it uses less digits than its factorization.

22021220012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6427614.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22021220012001 its reverse (10021002212022), we get a palindrome (32042222224023).

The spelling of 22021220012001 in words is "twenty-two trillion, twenty-one billion, two hundred twenty million, twelve thousand, one".

Divisors: 1 3 7 19 21 31 57 93 133 217 277 399 589 651 831 1767 1939 4123 5263 5817 8587 12369 15789 25761 36841 60109 110523 163153 180327 489459 1142071 3426213 6427277 19281831 44990939 122118263 134972817 199245587 366354789 597736761 854827841 1394719109 1780355729 2564483523 3785666153 4184157327 5341067187 11356998459 12462490103 26499663071 33826758851 37387470309 55191027599 79498989213 101480276553 165573082797 236787311957 386337193193 710361935871 1048629524381 1159011579579 3145888573143 7340406670667 22021220012001