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22131112524114 = 23111980921815099
BaseRepresentation
bin1010000100000110011010…
…00110011011100101010010
32220100201021021122200102110
411002003031012123211102
510400044004301232424
6115022520455330150
74442630412421566
oct502031506334522
986321237580373
1022131112524114
117062830076870
1225951a8980956
13c46c55067009
14567219c556a6
15285a336d3c29
hex1420cd19b952

22131112524114 has 64 divisors (see below), whose sum is σ = 50890265280000. Its totient is φ = 6345575706240.

The previous prime is 22131112524113. The next prime is 22131112524119. The reversal of 22131112524114 is 41142521113122.

It is a super-2 number, since 2×221311125241142 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22131112524113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9893064 + ... + 11922035.

It is an arithmetic number, because the mean of its divisors is an integer number (795160395000).

Almost surely, 222131112524114 is an apocalyptic number.

22131112524114 is an abundant number, since it is smaller than the sum of its proper divisors (28759152755886).

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

22131112524114 is a wasteful number, since it uses less digits than its factorization.

22131112524114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21815943.

The product of its digits is 3840, while the sum is 30.

Adding to 22131112524114 its reverse (41142521113122), we get a palindrome (63273633637236).

The spelling of 22131112524114 in words is "twenty-two trillion, one hundred thirty-one billion, one hundred twelve million, five hundred twenty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 809 1254 1618 2427 4854 8899 15371 17798 26697 30742 46113 53394 92226 169081 338162 507243 1014486 21815099 43630198 65445297 130890594 239966089 414486881 479932178 719898267 828973762 1243460643 1439796534 2486921286 4559355691 9118711382 13678067073 17648415091 27356134146 35296830182 52945245273 105890490546 194132566001 335319886729 388265132002 582397698003 670639773458 1005959660187 1164795396006 2011919320374 3688518754019 7377037508038 11065556262057 22131112524114