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200002300320042 = 23411795891410179
BaseRepresentation
bin101101011110011010101010…
…000100001001100100101010
3222020011000220012002102110000
4231132122222010021210222
5202203314202340220132
61545211442141203430
760061455306601113
oct5536325204114452
9866130805072400
10200002300320042
11587aa5545328a0
121a521951860576
13877a19ca168bc
14375623d33720a
15181c7baec587c
hexb5e6aa10992a

200002300320042 has 80 divisors (see below), whose sum is σ = 488901001327200. Its totient is φ = 60605953198560.

The previous prime is 200002300320037. The next prime is 200002300320047. The reversal of 200002300320042 is 240023003200002.

200002300320042 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 0 + 2 + 300 + 320 + 0 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (200002300320037) and next prime (200002300320047).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200002300319997 and 200002300320024.

It is not an unprimeable number, because it can be changed into a prime (200002300320047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 141122509 + ... + 142532687.

It is an arithmetic number, because the mean of its divisors is an integer number (6111262516590).

Almost surely, 2200002300320042 is an apocalyptic number.

200002300320042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

200002300320042 is an abundant number, since it is smaller than the sum of its proper divisors (288898701007158).

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

200002300320042 is a wasteful number, since it uses less digits than its factorization.

200002300320042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489793 (or 1489784 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 200002300320042 its reverse (240023003200002), we get a palindrome (440025303520044).

The spelling of 200002300320042 in words is "two hundred trillion, two billion, three hundred million, three hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 79589 159178 238767 477534 716301 875479 1410179 1432602 1750958 2148903 2626437 2820358 4230537 4297806 5252874 6446709 7879311 8461074 12691611 12893418 15511969 15758622 23637933 25383222 31023938 38074833 46535907 47275866 70913799 76149666 93071814 114224499 139607721 141827598 228448998 279215442 418823163 837646326 1256469489 2512938978 112234736431 224469472862 336704209293 673408418586 1010112627879 1234582100741 2020225255758 2469164201482 3030337883637 3703746302223 6060675767274 7407492604446 9091013650911 11111238906669 18182027301822 22222477813338 33333716720007 66667433440014 100001150160021 200002300320042