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10022111130000 = 24354107229179
BaseRepresentation
bin1001000111010111010001…
…0111111011000110010000
31022111002211011020001000010
42101311310113323012100
52303200240422130000
633152032211154520
72053034154012204
oct221656427730620
938432734201003
1010022111130000
113214398503282
12115a4288a5a40
13579109019cb8
1426910395ab04
15125a711c3d50
hex91d745fb190

10022111130000 has 300 divisors, whose sum is σ = 32659017831440. Its totient is φ = 2647495008000.

The previous prime is 10022111129993. The next prime is 10022111130007. The reversal of 10022111130000 is 3111122001.

10022111130000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10022111129993) and next prime (10022111130007).

It is a tau number, because it is divible by the number of its divisors (300).

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

It is not an unprimeable number, because it can be changed into a prime (10022111130007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 343455411 + ... + 343484589.

Almost surely, 210022111130000 is an apocalyptic number.

10022111130000 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 10022111130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329508915720).

10022111130000 is an abundant number, since it is smaller than the sum of its proper divisors (22636906701440).

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

10022111130000 is an equidigital number, since it uses as much as digits as its factorization.

10022111130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29424 (or 29296 counting only the distinct ones).

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

Adding to 10022111130000 its reverse (3111122001), we get a palindrome (10025222252001).

The spelling of 10022111130000 in words is "ten trillion, twenty-two billion, one hundred eleven million, one hundred thirty thousand".