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10012222110132 = 2237111943312647
BaseRepresentation
bin1001000110110010011011…
…1100010011100110110100
31022110011021222021210000000
42101230212330103212310
52303020012330011012
633143315031151300
72052234124513404
oct221544674234664
938404258253000
1010012222110132
1132101833aa290
121158528b15530
135781c1319058
14268846446804
15125692e38ddc
hex91b26f139b4

10012222110132 has 384 divisors, whose sum is σ = 30247864012800. Its totient is φ = 2867457231360.

The previous prime is 10012222110131. The next prime is 10012222110229. The reversal of 10012222110132 is 23101122221001.

10012222110132 is a `hidden beast` number, since 100 + 1 + 222 + 211 + 0 + 132 = 666.

10012222110132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012222110131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 791661433 + ... + 791674079.

It is an arithmetic number, because the mean of its divisors is an integer number (78770479200).

Almost surely, 210012222110132 is an apocalyptic number.

10012222110132 is a gapful number since it is divisible by the number (12) 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 10012222110132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15123932006400).

10012222110132 is an abundant number, since it is smaller than the sum of its proper divisors (20235641902668).

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

10012222110132 is a wasteful number, since it uses less digits than its factorization.

10012222110132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13135 (or 13115 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10012222110132 its reverse (23101122221001), we get a palindrome (33113344331133).

The spelling of 10012222110132 in words is "ten trillion, twelve billion, two hundred twenty-two million, one hundred ten thousand, one hundred thirty-two".