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10220112202200 = 23352521161320269
BaseRepresentation
bin1001010010111000111000…
…1010000100100111011000
31100012000220012011200001120
42110232032022010213120
52314421242210432300
633423015453245240
72103243623241315
oct224561612044730
940160805150046
1010220112202200
11329036399a42a
121190886a93820
135919a2178b54
14274928381d0c
1512acadde83a0
hex94b8e2849d8

10220112202200 has 192 divisors, whose sum is σ = 31764405117600. Its totient is φ = 2718311731200.

The previous prime is 10220112202169. The next prime is 10220112202217. The reversal of 10220112202200 is 220221102201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10220112202200.

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 47 ways as a sum of consecutive naturals, for example, 504213666 + ... + 504233934.

Almost surely, 210220112202200 is an apocalyptic number.

10220112202200 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 10220112202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15882202558800).

10220112202200 is an abundant number, since it is smaller than the sum of its proper divisors (21544292915400).

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

10220112202200 is a wasteful number, since it uses less digits than its factorization.

10220112202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22422 (or 22413 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10220112202200 its reverse (220221102201), we get a palindrome (10440333304401).

The spelling of 10220112202200 in words is "ten trillion, two hundred twenty billion, one hundred twelve million, two hundred two thousand, two hundred".