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203052643003053 = 321931202932515807
BaseRepresentation
bin101110001010110011100000…
…101010000010101010101101
3222121221122100210222222020100
4232022303200222002222231
5203103303303102044203
61555505032455141313
760525032532601614
oct5612634052025255
9877848323888210
10203052643003053
1159776162449418
121a934b67374839
13893ba222aa11c
14381db2c28487b
151871cea1eeea3
hexb8ace0a82aad

203052643003053 has 96 divisors (see below), whose sum is σ = 319004279193600. Its totient is φ = 123986201040000.

The previous prime is 203052643003033. The next prime is 203052643003079. The reversal of 203052643003053 is 350300346250302.

203052643003053 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 5 + 2 + 643 + 0 + 0 + 3 + 0 + 5 + 3 = 666.

It is not a de Polignac number, because 203052643003053 - 237 = 202915204049581 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 203052643002999 and 203052643003017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203052643003033) 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, 34966872076 + ... + 34966877882.

It is an arithmetic number, because the mean of its divisors is an integer number (3322961241600).

Almost surely, 2203052643003053 is an apocalyptic number.

It is an amenable number.

203052643003053 is a deficient number, since it is larger than the sum of its proper divisors (115951636190547).

203052643003053 is a wasteful number, since it uses less digits than its factorization.

203052643003053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11143 (or 11140 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

Adding to 203052643003053 its reverse (350300346250302), we get a palindrome (553352989253355).

The spelling of 203052643003053 in words is "two hundred three trillion, fifty-two billion, six hundred forty-three million, three thousand, fifty-three".

Divisors: 1 3 9 19 31 57 93 171 279 589 1767 2029 3251 5301 5807 6087 9753 17421 18261 29259 38551 52263 61769 62899 100781 110333 115653 180017 185307 188697 302343 330999 346959 540051 555921 566091 907029 992997 1195081 1620153 1914839 3420323 3585243 5744517 6596279 10260969 10755729 11782403 17233551 18878557 19788837 30782907 35347209 56635671 59366511 106041627 125329301 169907013 204484649 223865657 358692583 365254493 375987903 585235267 613453947 671596971 1076077749 1095763479 1127963709 1755705801 1840361841 2014790913 3228233247 3287290437 3885208331 5267117403 6939835367 11119470073 11655624993 20819506101 33358410219 34966874979 38304592153 62458518303 100075230657 114913776459 344741329377 727787250907 1187442356743 2183361752721 3562327070229 6550085258163 10686981210687 22561404778117 67684214334351 203052643003053