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22133434323231 = 32711157203430431
BaseRepresentation
bin1010000100001010101110…
…11111011001000100011111
32220100221021002112022001100
411002011113133121010133
510400113233141320411
6115023543115444143
74443042064404330
oct502052737310437
986327232468040
1022133434323231
117063811726910
122595736456653
13c472350a244a
1456739a35a287
15285b1c45e456
hex1421577d911f

22133434323231 has 48 divisors (see below), whose sum is σ = 40113226303488. Its totient is φ = 11424652948800.

The previous prime is 22133434323167. The next prime is 22133434323233. The reversal of 22133434323231 is 13232343433122.

22133434323231 is a `hidden beast` number, since 2 + 2 + 13 + 343 + 43 + 232 + 31 = 666.

It is not a de Polignac number, because 22133434323231 - 26 = 22133434323167 is a prime.

It is a super-2 number, since 2×221334343232312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22133434323233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101606415 + ... + 101824016.

It is an arithmetic number, because the mean of its divisors is an integer number (835692214656).

Almost surely, 222133434323231 is an apocalyptic number.

22133434323231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22133434323231 is a deficient number, since it is larger than the sum of its proper divisors (17979791980257).

22133434323231 is a wasteful number, since it uses less digits than its factorization.

22133434323231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203430612 (or 203430609 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

Adding to 22133434323231 its reverse (13232343433122), we get a palindrome (35365777756353).

The spelling of 22133434323231 in words is "twenty-two trillion, one hundred thirty-three billion, four hundred thirty-four million, three hundred twenty-three thousand, two hundred thirty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 157 231 471 693 1099 1413 1727 3297 5181 9891 12089 15543 36267 108801 203430431 610291293 1424013017 1830873879 2237734741 4272039051 6713204223 12816117153 15664143187 20139612669 31938577667 46992429561 95815733001 140977288683 223570043669 287447199003 351324354337 670710131007 1053973063011 2012130393021 2459270480359 3161919189033 7377811441077 22133434323231