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22013321200011 = 354154120032039
BaseRepresentation
bin1010000000101011000000…
…01100001100000110001011
32212221110020012111102200000
411000111200030030012023
510341131240211400021
6114452440302414043
74431260422611531
oct500254014140613
985843205442600
1022013321200011
117017884a27629
1225763b4891323
13c38b0262b27b
14561643da8151
1528293c5b0b26
hex14056030c18b

22013321200011 has 96 divisors (see below), whose sum is σ = 33874886223360. Its totient is φ = 14277001939200.

The previous prime is 22013321199979. The next prime is 22013321200127. The reversal of 22013321200011 is 11000212331022.

22013321200011 is a `hidden beast` number, since 2 + 201 + 332 + 120 + 0 + 0 + 11 = 666.

It is not a de Polignac number, because 22013321200011 - 25 = 22013321199979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22013321200511) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10796134930 + ... + 10796136968.

It is an arithmetic number, because the mean of its divisors is an integer number (352863398160).

Almost surely, 222013321200011 is an apocalyptic number.

22013321200011 is a deficient number, since it is larger than the sum of its proper divisors (11861565023349).

22013321200011 is a wasteful number, since it uses less digits than its factorization.

22013321200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4639 (or 4627 counting only the distinct ones).

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

Adding to 22013321200011 its reverse (11000212331022), we get a palindrome (33013533531033).

The spelling of 22013321200011 in words is "twenty-two trillion, thirteen billion, three hundred twenty-one million, two hundred thousand, eleven".

Divisors: 1 3 9 27 41 81 123 243 369 541 1107 1623 2003 2039 3321 4869 6009 6117 9963 14607 18027 18351 22181 43821 54081 55053 66543 82123 83599 131463 162243 165159 199629 246369 250797 486729 495477 598887 739107 752391 1083623 1103099 1796661 2217321 2257173 3250869 3309297 4084117 5389983 6651963 6771519 9752607 9927891 12252351 19955889 20314557 29257821 29783673 36757053 44428543 45227059 87773463 89351019 110271159 133285629 135681177 167448797 263320389 268053057 330813477 399856887 407043531 502346391 992440431 1199570661 1221130593 1507039173 2209507297 3598711983 3663391779 4521117519 6628521891 10796135949 10990175337 13563352557 19885565673 40690057671 59656697019 90589799177 178970091057 271769397531 536910273171 815308192593 2445924577779 7337773733337 22013321200011