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10201222220220 = 223257313719129669
BaseRepresentation
bin1001010001110010100000…
…1110100000100110111100
31100010020010201100011021100
42110130220032200212330
52314114100342021340
633410213215333100
72102004540113463
oct224345016404674
940106121304240
1010201222220220
11328334aaa8379
121189094821190
1358cc8174ba15
14273a556859da
1512a555841830
hex947283a09bc

10201222220220 has 288 divisors, whose sum is σ = 31763051873280. Its totient is φ = 2649442590720.

The previous prime is 10201222220159. The next prime is 10201222220251. The reversal of 10201222220220 is 2202222210201.

10201222220220 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 1 + 222 + 220 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10201222220193 and 10201222220202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 343819546 + ... + 343849214.

It is an arithmetic number, because the mean of its divisors is an integer number (110288374560).

Almost surely, 210201222220220 is an apocalyptic number.

10201222220220 is a gapful number since it is divisible by the number (10) 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 10201222220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15881525936640).

10201222220220 is an abundant number, since it is smaller than the sum of its proper divisors (21561829653060).

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

10201222220220 is a wasteful number, since it uses less digits than its factorization.

10201222220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30085 (or 30080 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10201222220220 its reverse (2202222210201), we get a palindrome (12403444430421).

The spelling of 10201222220220 in words is "ten trillion, two hundred one billion, two hundred twenty-two million, two hundred twenty thousand, two hundred twenty".