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200212022022100 = 2252112232412985107
BaseRepresentation
bin101101100001011101111110…
…011100111100111111010100
3222020220002020001110202001121
4231201131332130330333110
5202220233210114201400
61545452044433133324
760112561355625604
oct5541357634747724
9866802201422047
10200212022022100
1158880494a07700
121a5565210ba244
138793bb31834aa
143762456616c04
151822e92b8421a
hexb6177e73cfd4

200212022022100 has 216 divisors, whose sum is σ = 500377797146304. Its totient is φ = 69349982592000.

The previous prime is 200212022022041. The next prime is 200212022022139. The reversal of 200212022022100 is 1220220212002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65577747 + ... + 68562853.

Almost surely, 2200212022022100 is an apocalyptic number.

200212022022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200212022022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250188898573152).

200212022022100 is an abundant number, since it is smaller than the sum of its proper divisors (300165775124204).

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

200212022022100 is a wasteful number, since it uses less digits than its factorization.

200212022022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985407 (or 2985389 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 200212022022100 its reverse (1220220212002), we get a palindrome (201432242234102).

The spelling of 200212022022100 in words is "two hundred trillion, two hundred twelve billion, twenty-two million, twenty-two thousand, one hundred".