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2232426106053 = 32111317232192883
BaseRepresentation
bin100000011111000110111…
…101110000110011000101
321220102021121120101200100
4200133012331300303011
5243034002040343203
64425321251034313
7320200412544303
oct40370675606305
97812247511610
102232426106053
11790848379440
123007aab9b999
13132694774a40
147a09b2b3273
153d10d05bea3
hex207c6f70cc5

2232426106053 has 144 divisors (see below), whose sum is σ = 4193208661824. Its totient is φ = 1124332323840.

The previous prime is 2232426106051. The next prime is 2232426106063. The reversal of 2232426106053 is 3506016242322.

2232426106053 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 42 + 6 + 1 + 0 + 605 + 3 = 666.

2232426106053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2232426106053 - 21 = 2232426106051 is a prime.

It is a super-3 number, since 3×22324261060533 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2232426105999 and 2232426106017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232426106051) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11477550 + ... + 11670432.

It is an arithmetic number, because the mean of its divisors is an integer number (29119504596).

Almost surely, 22232426106053 is an apocalyptic number.

2232426106053 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2232426106053 is a deficient number, since it is larger than the sum of its proper divisors (1960782555771).

2232426106053 is a wasteful number, since it uses less digits than its factorization.

2232426106053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192976 (or 192950 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 2232426106053 in words is "two trillion, two hundred thirty-two billion, four hundred twenty-six million, one hundred six thousand, fifty-three".

Divisors: 1 3 9 11 13 17 23 33 39 51 69 99 117 143 153 187 207 221 253 299 391 429 529 561 663 759 897 1173 1287 1587 1683 1989 2277 2431 2691 3289 3519 4301 4761 5083 5819 6877 7293 8993 9867 12903 15249 17457 20631 21879 26979 29601 38709 45747 52371 55913 61893 75647 80937 98923 116909 167739 192883 226941 296769 350727 503217 578649 680823 890307 1052181 1285999 1735947 2121713 2507479 3279011 3857997 4436309 6365139 7522437 9837033 11573991 13308927 19095417 22567311 27582269 29511099 36069121 39926781 42627143 48799399 57672017 75417253 82746807 102035107 108207363 127881429 146398197 173016051 226251759 248240421 306105321 324622089 383644287 439194591 468898573 519048153 634392187 678755277 829589783 918315963 980424289 1122386177 1326456391 1406695719 1734596819 1903176561 2488769349 2941272867 3367158531 3979369173 4220087157 5203790457 5709529683 7466308047 8823818601 10101475593 10784667179 11938107519 14591020301 15611371371 19080565009 22549758647 32354001537 43773060903 57241695027 67649275941 97062004611 131319182709 171725085081 202947827823 248047345117 744142035351 2232426106053