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2000101212200 = 2352713109895671
BaseRepresentation
bin11101000110101111010…
…100101000000000101000
321002012121111021222000002
4131012233110220000220
5230232201402242300
64130500034202132
7264334241536250
oct35065724500050
97065544258002
102000101212200
11701268aa0033
12283771a23348
131167bb510850
146cb3c0b8960
1537061d215d5
hex1d1af528028

2000101212200 has 96 divisors (see below), whose sum is σ = 5723366597760. Its totient is φ = 632999059200.

The previous prime is 2000101212191. The next prime is 2000101212209. The reversal of 2000101212200 is 22121010002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2000101212191) and next prime (2000101212209).

It is not an unprimeable number, because it can be changed into a prime (2000101212209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54929636 + ... + 54966035.

It is an arithmetic number, because the mean of its divisors is an integer number (59618402060).

Almost surely, 22000101212200 is an apocalyptic number.

2000101212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000101212200 is an abundant number, since it is smaller than the sum of its proper divisors (3723265385560).

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

2000101212200 is a wasteful number, since it uses less digits than its factorization.

2000101212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109895707 (or 109895698 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2000101212200 its reverse (22121010002), we get a palindrome (2022222222202).

The spelling of 2000101212200 in words is "two trillion, one hundred one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 175 182 200 260 280 325 350 364 455 520 650 700 728 910 1300 1400 1820 2275 2600 3640 4550 9100 18200 109895671 219791342 439582684 549478355 769269697 879165368 1098956710 1428643723 1538539394 2197913420 2747391775 2857287446 3077078788 3846348485 4395826840 5494783550 5714574892 6154157576 7143218615 7692696970 10000506061 10989567100 11429149784 14286437230 15385393940 19231742425 20001012122 21979134200 28572874460 30770787880 35716093075 38463484850 40002024244 50002530305 57145748920 71432186150 76926969700 80004048488 100005060610 142864372300 153853939400 200010121220 250012651525 285728744600 400020242440 500025303050 1000050606100 2000101212200