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22013101232001 = 32111911164159989
BaseRepresentation
bin1010000000101010100110…
…00101000100111110000001
32212221102122212120220021200
411000111103011010332001
510341130312403411001
6114452402404011413
74431252112120425
oct500252305047601
985842585526250
1022013101232001
117017781846390
122576353090b69
13c38a98ba2299
14561622aa8b85
15282928110086
hex140553144f81

22013101232001 has 24 divisors (see below), whose sum is σ = 34868920020480. Its totient is φ = 13271423863200.

The previous prime is 22013101231969. The next prime is 22013101232077. The reversal of 22013101232001 is 10023210131022.

22013101232001 is a `hidden beast` number, since 2 + 20 + 1 + 310 + 12 + 320 + 0 + 1 = 666.

It is not a de Polignac number, because 22013101232001 - 25 = 22013101231969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22013101239001) 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, 582061086 + ... + 582098903.

It is an arithmetic number, because the mean of its divisors is an integer number (1452871667520).

Almost surely, 222013101232001 is an apocalyptic number.

It is an amenable number.

22013101232001 is a deficient number, since it is larger than the sum of its proper divisors (12855818788479).

22013101232001 is a wasteful number, since it uses less digits than its factorization.

22013101232001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164160197 (or 1164160194 counting only the distinct ones).

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

Adding to 22013101232001 its reverse (10023210131022), we get a palindrome (32036311363023).

The spelling of 22013101232001 in words is "twenty-two trillion, thirteen billion, one hundred one million, two hundred thirty-two thousand, one".

Divisors: 1 3 9 11 33 99 191 573 1719 2101 6303 18909 1164159989 3492479967 10477439901 12805759879 38417279637 115251838911 222354557899 667063673697 2001191021091 2445900136889 7337700410667 22013101232001