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31013032322300 = 225271273467100621
BaseRepresentation
bin1110000110100110010001…
…10001100110010011111100
311001210211001112201202021212
413003103020301212103330
513031104142233303200
6145543105041343552
76350421565143050
oct703231061462374
9131724045652255
1031013032322300
11997760a268646
12358a649937bb8
13143c6936b57b2
14793078573c60
1538bac0729035
hex1c34c8c664fc

31013032322300 has 144 divisors (see below), whose sum is σ = 77541058387968. Its totient is φ = 10546167340800.

The previous prime is 31013032322299. The next prime is 31013032322351. The reversal of 31013032322300 is 322323031013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308165990 + ... + 308266610.

Almost surely, 231013032322300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31013032322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38770529193984).

31013032322300 is an abundant number, since it is smaller than the sum of its proper divisors (46528026065668).

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

31013032322300 is a wasteful number, since it uses less digits than its factorization.

31013032322300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104236 (or 104229 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 31013032322300 its reverse (322323031013), we get a palindrome (31335355353313).

The spelling of 31013032322300 in words is "thirty-one trillion, thirteen billion, thirty-two million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 127 140 175 254 350 508 635 700 889 1270 1778 2540 3175 3467 3556 4445 6350 6934 8890 12700 13868 17335 17780 22225 24269 34670 44450 48538 69340 86675 88900 97076 100621 121345 173350 201242 242690 346700 402484 440309 485380 503105 606725 704347 880618 1006210 1213450 1408694 1761236 2012420 2201545 2426900 2515525 2817388 3082163 3521735 4403090 5031050 6164326 7043470 8806180 10062100 11007725 12328652 12778867 14086940 15410815 17608675 22015450 25557734 30821630 35217350 44030900 51115468 61643260 63894335 70434700 77054075 89452069 127788670 154108150 178904138 255577340 308216300 319471675 348853007 357808276 447260345 638943350 697706014 894520690 1277886700 1395412028 1744265035 1789041380 2236301725 2441971049 3488530070 4472603450 4883942098 6977060140 8721325175 8945206900 9767884196 12209855245 17442650350 24419710490 34885300700 44304331889 48839420980 61049276225 88608663778 122098552450 177217327556 221521659445 244197104900 310130323223 443043318890 620260646446 886086637780 1107608297225 1240521292892 1550651616115 2215216594450 3101303232230 4430433188900 6202606464460 7753258080575 15506516161150 31013032322300