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200001212112200 = 235241113969214009
BaseRepresentation
bin101101011110011001101001…
…001100111101110101001000
3222020010221002100102201220212
4231132121221030331311020
5202203304440300042300
61545211142145140252
760061416324150362
oct5536315114756510
9866127070381825
10200001212112200
11587aa046242174
121a5216a932a688
13877a058434435
1437561789c7d32
15181c7556bd935
hexb5e66933dd48

200001212112200 has 96 divisors (see below), whose sum is σ = 476350755741000. Its totient is φ = 78048203980800.

The previous prime is 200001212112199. The next prime is 200001212112203. The reversal of 200001212112200 is 2211212100002.

It can be written as a sum of positive squares in 12 ways, for example, as 678939744484 + 199322272367716 = 823978^2 + 14118154^2 .

It is not an unprimeable number, because it can be changed into a prime (200001212112203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 934438796 + ... + 934652804.

Almost surely, 2200001212112200 is an apocalyptic number.

200001212112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200001212112200 is an abundant number, since it is smaller than the sum of its proper divisors (276349543628800).

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

200001212112200 is a wasteful number, since it uses less digits than its factorization.

200001212112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328035 (or 328026 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200001212112200 its reverse (2211212100002), we get a palindrome (202212424212202).

The spelling of 200001212112200 in words is "two hundred trillion, one billion, two hundred twelve million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 113969 214009 227938 428018 455876 569845 856036 911752 1070045 1139690 1712072 2140090 2279380 2849225 4280180 4558760 4672729 5350225 5698450 8560360 8774369 9345458 10700450 11396900 17548738 18690916 21400900 22793800 23363645 35097476 37381832 42801800 43871845 46727290 70194952 87743690 93454580 116818225 175487380 186909160 219359225 233636450 350974760 438718450 467272900 877436900 934545800 1754873800 24390391721 48780783442 97561566884 121951958605 195123133768 243903917210 487807834420 609759793025 975615668840 1000006060561 1219519586050 2000012121122 2439039172100 4000024242244 4878078344200 5000030302805 8000048484488 10000060605610 20000121211220 25000151514025 40000242422440 50000303028050 100000606056100 200001212112200