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200212222121010 = 2325112172192176221
BaseRepresentation
bin101101100001011110001010…
…011000010001010000110010
3222020220002201222222211011100
4231201132022120101100302
5202220234112330333020
61545452120342025230
760112566335504421
oct5541361230212062
9866802658884140
10200212222121010
1158880587957a00
121a556578118216
138793c15773808
1437624750232b8
151822ea550ca90
hexb6178a611432

200212222121010 has 648 divisors, whose sum is σ = 641491602252228. Its totient is φ = 43276699699200.

The previous prime is 200212222120957. The next prime is 200212222121071. The reversal of 200212222121010 is 10121222212002.

It is a happy number.

200212222121010 is a `hidden beast` number, since 20 + 0 + 212 + 2 + 221 + 210 + 1 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 141516505237041 + 58695716883969 = 11896071^2 + 7661313^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 1136054700 + ... + 1136230920.

Almost surely, 2200212222121010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200212222121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320745801126114).

200212222121010 is an abundant number, since it is smaller than the sum of its proper divisors (441279380131218).

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

200212222121010 is a wasteful number, since it uses less digits than its factorization.

200212222121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176328 (or 176278 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200212222121010 its reverse (10121222212002), we get a palindrome (210333444333012).

The spelling of 200212222121010 in words is "two hundred trillion, two hundred twelve billion, two hundred twenty-two million, one hundred twenty-one thousand, ten".