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10223021212200 = 23325237791943023
BaseRepresentation
bin1001010011000011101110…
…0011000100001000101000
31100012022101220222200120200
42110300323203010020220
52314443221412242300
633424220251352200
72103405665356116
oct224607343041050
940168356880520
1010223021212200
113291616a62725
121191359152660
13592046a52944
14274b22860ab6
1512adce4b7200
hex94c3b8c4228

10223021212200 has 288 divisors, whose sum is σ = 35706563443200. Its totient is φ = 2618882772480.

The previous prime is 10223021212193. The next prime is 10223021212207. The reversal of 10223021212200 is 221212032201.

10223021212200 is a `hidden beast` number, since 1 + 0 + 2 + 230 + 21 + 212 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (10223021212193) and next prime (10223021212207).

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

It is not an unprimeable number, because it can be changed into a prime (10223021212207) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 4289889 + ... + 6232911.

Almost surely, 210223021212200 is an apocalyptic number.

10223021212200 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 10223021212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17853281721600).

10223021212200 is an abundant number, since it is smaller than the sum of its proper divisors (25483542231000).

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

10223021212200 is a wasteful number, since it uses less digits than its factorization.

10223021212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943161 (or 1943149 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10223021212200 its reverse (221212032201), we get a palindrome (10444233244401).

The spelling of 10223021212200 in words is "ten trillion, two hundred twenty-three billion, twenty-one million, two hundred twelve thousand, two hundred".