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200300431310424 = 23323727872582089
BaseRepresentation
bin101101100010110000010100…
…000011100111111001011000
3222021012112102110010220222200
4231202300110003213321120
5202223210240403413144
61550000425311050200
760122141261316024
oct5542602403477130
9867175373126880
10200300431310424
1158904a32720545
121a56b695210960
13879c332572653
14376684215b384
151825419548c69
hexb62c140e7e58

200300431310424 has 144 divisors (see below), whose sum is σ = 558246876805800. Its totient is φ = 64879732698624.

The previous prime is 200300431310411. The next prime is 200300431310449. The reversal of 200300431310424 is 424013134003002.

200300431310424 is a `hidden beast` number, since 2 + 0 + 0 + 300 + 4 + 3 + 1 + 310 + 42 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76281972 + ... + 78864060.

Almost surely, 2200300431310424 is an apocalyptic number.

200300431310424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200300431310424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279123438402900).

200300431310424 is an abundant number, since it is smaller than the sum of its proper divisors (357946445495376).

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

200300431310424 is a wasteful number, since it uses less digits than its factorization.

200300431310424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582962 (or 2582918 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 200300431310424 its reverse (424013134003002), we get a palindrome (624313565313426).

The spelling of 200300431310424 in words is "two hundred trillion, three hundred billion, four hundred thirty-one million, three hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 787 888 1332 1369 1574 2361 2664 2738 3148 4107 4722 5476 6296 7083 8214 9444 10952 12321 14166 16428 18888 24642 28332 29119 32856 49284 56664 58238 87357 98568 116476 174714 232952 262071 349428 524142 698856 1048284 1077403 2096568 2154806 2582089 3232209 4309612 5164178 6464418 7746267 8619224 9696627 10328356 12928836 15492534 19393254 20656712 23238801 25857672 30985068 38786508 46477602 61970136 77573016 92955204 95537293 185910408 191074586 286611879 382149172 573223758 764298344 859835637 1146447516 1719671274 2032104043 2292895032 3439342548 3534879841 4064208086 6096312129 6878685096 7069759682 8128416172 10604639523 12192624258 14139519364 16256832344 18288936387 21209279046 24385248516 28279038728 31813918569 36577872774 42418558092 48770497032 63627837138 73155745548 75187849591 84837116184 127255674276 146311491096 150375699182 225563548773 254511348552 300751398364 451127097546 601502796728 676690646319 902254195092 1353381292638 1804508390184 2706762585276 2781950434867 5413525170552 5563900869734 8345851304601 11127801739468 16691702609202 22255603478936 25037553913803 33383405218404 50075107827606 66766810436808 100150215655212 200300431310424