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10022212200000 = 263557112133741
BaseRepresentation
bin1001000111010111101001…
…1001011110011001000000
31022111010002012101220222110
42101311322121132121000
52303200442310400000
633152050221335320
72053036522052010
oct221657231363100
938433065356873
1010022212200000
11321443a565700
12115a456707540
13579123c46830
14269113149c40
15125a79eda850
hex91d7a65e640

10022212200000 has 4032 divisors, whose sum is σ = 47173543699968. Its totient is φ = 1824768000000.

The previous prime is 10022212199981. The next prime is 10022212200047. The reversal of 10022212200000 is 221222001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 244444199980 + ... + 244444200020.

It is an arithmetic number, because the mean of its divisors is an integer number (11699787624).

Almost surely, 210022212200000 is an apocalyptic number.

10022212200000 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 10022212200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23586771849984).

10022212200000 is an abundant number, since it is smaller than the sum of its proper divisors (37151331499968).

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

10022212200000 is a wasteful number, since it uses less digits than its factorization.

10022212200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10022212200000 its reverse (221222001), we get a palindrome (10022433422001).

The spelling of 10022212200000 in words is "ten trillion, twenty-two billion, two hundred twelve million, two hundred thousand".