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200111332033002 = 23131928838048393
BaseRepresentation
bin101101100000000000001100…
…110111001000000111101010
3222020112110022210111022201010
4231200000030313020013222
5202212111002000024002
61545333513221204350
760102365233062225
oct5540001467100752
9866473283438633
10200111332033002
115884181504a585
121a53ab002606b6
13878755772b1a0
14375b623aa65bc
15182054d0a346c
hexb6000cdc81ea

200111332033002 has 96 divisors (see below), whose sum is σ = 455402857186368. Its totient is φ = 58265979754752.

The previous prime is 200111332032991. The next prime is 200111332033033. The reversal of 200111332033002 is 200330233111002.

It is a self number, because there is not a number n which added to its sum of digits gives 200111332033002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20839318 + ... + 28887710.

It is an arithmetic number, because the mean of its divisors is an integer number (4743779762358).

Almost surely, 2200111332033002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200111332033002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227701428593184).

200111332033002 is an abundant number, since it is smaller than the sum of its proper divisors (255291525153366).

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

200111332033002 is a wasteful number, since it uses less digits than its factorization.

200111332033002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8049332 (or 8049313 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 200111332033002 its reverse (200330233111002), we get a palindrome (400441565144004).

The spelling of 200111332033002 in words is "two hundred trillion, one hundred eleven billion, three hundred thirty-two million, thirty-three thousand, two".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 361 494 722 741 883 1083 1482 1766 2166 2649 4693 5298 9386 11479 14079 16777 22958 28158 33554 34437 50331 68874 100662 218101 318763 436202 637526 654303 956289 1308606 1912578 4143919 8048393 8287838 12431757 16096786 24145179 24863514 48290358 104629109 152919467 209258218 305838934 313887327 458758401 627774654 917516802 1987953071 2905469873 3975906142 5810939746 5963859213 7106731019 8716409619 11927718426 14213462038 17432819238 21320193057 37771108349 42640386114 75542216698 92387503247 113313325047 135027889361 184775006494 226626650094 270055778722 277162509741 405083668083 554325019482 810167336166 1755362561693 2565529897859 3510725123386 5131059795718 5266087685079 7696589693577 10532175370158 15393179387154 33351888672167 66703777344334 100055666016501 200111332033002