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22213010113000 = 2353721451931223
BaseRepresentation
bin1010000110011110111101…
…00100111100000111101000
32220122112122212102021000021
411003033132210330013220
510402414221042104000
6115124303241050224
74451560045431400
oct503173644740750
986575585367007
1022213010113000
117094537131523
1225a9044186974
13c518a736a095
1456b188a2b800
15287c2858611a
hex1433de93c1e8

22213010113000 has 192 divisors, whose sum is σ = 60470821382400. Its totient is φ = 7615120732800.

The previous prime is 22213010112941. The next prime is 22213010113081. The reversal of 22213010113000 is 31101031222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711415389 + ... + 711446611.

It is an arithmetic number, because the mean of its divisors is an integer number (314952194700).

Almost surely, 222213010113000 is an apocalyptic number.

22213010113000 is a gapful number since it is divisible by the number (20) 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 22213010113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30235410691200).

22213010113000 is an abundant number, since it is smaller than the sum of its proper divisors (38257811269400).

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

22213010113000 is a wasteful number, since it uses less digits than its factorization.

22213010113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45777 (or 45756 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 22213010113000 its reverse (31101031222), we get a palindrome (22244111144222).

The spelling of 22213010113000 in words is "twenty-two trillion, two hundred thirteen billion, ten million, one hundred thirteen thousand".