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203313423112432 = 244110111549265703
BaseRepresentation
bin101110001110100110011000…
…010111001101100011110000
3222122212120111000210010100221
4232032212120113031203300
5203122041342304044212
62000224521442022424
760552624105134653
oct5616463027154360
9878776430703327
10203313423112432
1159866813a82376
121a977606047a14
13895a4b1863959
14382c5ca68789a
1518789ae620807
hexb8e9985cd8f0

203313423112432 has 80 divisors (see below), whose sum is σ = 407559698884800. Its totient is φ = 98186454272000.

The previous prime is 203313423112427. The next prime is 203313423112433. The reversal of 203313423112432 is 234211324313302.

203313423112432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2033134231124323 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203313423112433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 765057693 + ... + 765323395.

It is an arithmetic number, because the mean of its divisors is an integer number (5094496236060).

Almost surely, 2203313423112432 is an apocalyptic number.

It is an amenable number.

203313423112432 is an abundant number, since it is smaller than the sum of its proper divisors (204246275772368).

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

203313423112432 is a wasteful number, since it uses less digits than its factorization.

203313423112432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277402 (or 277396 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

Adding to 203313423112432 its reverse (234211324313302), we get a palindrome (437524747425734).

The spelling of 203313423112432 in words is "two hundred three trillion, three hundred thirteen billion, four hundred twenty-three million, one hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 41 82 101 164 202 328 404 656 808 1616 4141 8282 11549 16564 23098 33128 46196 66256 92392 184784 265703 473509 531406 947018 1062812 1166449 1894036 2125624 2332898 3788072 4251248 4665796 7576144 9331592 10893823 18663184 21787646 26836003 43575292 47824409 53672006 87150584 95648818 107344012 174301168 191297636 214688024 382595272 429376048 765190544 1100276123 2200552246 3068603947 4401104492 6137207894 8802208984 12274415788 17604417968 24548831576 49097663152 125812761827 251625523654 309928998647 503251047308 619857997294 1006502094616 1239715994588 2013004189232 2479431989176 4958863978352 12707088944527 25414177889054 50828355778108 101656711556216 203313423112432