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200101222300212 = 22325558367286117
BaseRepresentation
bin101101011111110110110010…
…010001100011101000110100
3222020111111020020020200111100
4231133312302101203220310
5202211424300402101322
61545325122114410100
760101556553550502
oct5537666221435064
9866444206220440
10200101222300212
11588384a73a6712
121a538b5a590930
1387866060a018c
14375ad4513b672
15182015a76bdac
hexb5fdb2463a34

200101222300212 has 18 divisors (see below), whose sum is σ = 505811423036738. Its totient is φ = 66700407433392.

The previous prime is 200101222300181. The next prime is 200101222300241. The reversal of 200101222300212 is 212003222101002.

200101222300212 is a `hidden beast` number, since 20 + 0 + 10 + 122 + 2 + 300 + 212 = 666.

It can be written as a sum of positive squares in only one way, i.e., 149026816183716 + 51074406116496 = 12207654^2 + 7146636^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×2001012223002123 (a number of 44 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2779183643023 + ... + 2779183643094.

Almost surely, 2200101222300212 is an apocalyptic number.

It is an amenable number.

200101222300212 is an abundant number, since it is smaller than the sum of its proper divisors (305710200736526).

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

200101222300212 is a wasteful number, since it uses less digits than its factorization.

200101222300212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5558367286127 (or 5558367286122 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 200101222300212 its reverse (212003222101002), we get a palindrome (412104444401214).

The spelling of 200101222300212 in words is "two hundred trillion, one hundred one billion, two hundred twenty-two million, three hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 5558367286117 11116734572234 16675101858351 22233469144468 33350203716702 50025305575053 66700407433404 100050611150106 200101222300212