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10222212330000 = 2432541143123957
BaseRepresentation
bin1001010011000000101101…
…0101011011001000010000
31100012020022112221012210200
42110300023111123020100
52314440042324030000
633424004114255200
72103346644110016
oct224601325331020
940166275835720
1010222212330000
113291241405540
121191172287500
13591c482acc18
14274a872628b6
1512ad83488500
hex94c0b55b210

10222212330000 has 600 divisors, whose sum is σ = 39090536724096. Its totient is φ = 2472259200000.

The previous prime is 10222212329983. The next prime is 10222212330013. The reversal of 10222212330000 is 3321222201.

10222212330000 is a `hidden beast` number, since 102 + 22 + 212 + 330 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 426678022 + ... + 426701978.

Almost surely, 210222212330000 is an apocalyptic number.

10222212330000 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 10222212330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19545268362048).

10222212330000 is an abundant number, since it is smaller than the sum of its proper divisors (28868324394096).

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

10222212330000 is a wasteful number, since it uses less digits than its factorization.

10222212330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24433 (or 24409 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10222212330000 its reverse (3321222201), we get a palindrome (10225533552201).

The spelling of 10222212330000 in words is "ten trillion, two hundred twenty-two billion, two hundred twelve million, three hundred thirty thousand".