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10032102220200 = 23352231794061251
BaseRepresentation
bin1001000111111100011111…
…1000111010000110101000
31022112001121110020000011220
42101333013320322012220
52303331221132021300
633200403435022040
72053536562615104
oct221770770720650
938461543200156
1010032102220200
113218655192215
12116035689a920
1357a03bc07ba8
142697b0840904
15125e583c1da0
hex91fc7e3a1a8

10032102220200 has 192 divisors, whose sum is σ = 32632972070400. Its totient is φ = 2544616800000.

The previous prime is 10032102220163. The next prime is 10032102220207. The reversal of 10032102220200 is 202220123001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10032102220200.

It is not an unprimeable number, because it can be changed into a prime (10032102220207) by changing a digit.

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, 439575 + ... + 4500825.

It is an arithmetic number, because the mean of its divisors is an integer number (169963396200).

Almost surely, 210032102220200 is an apocalyptic number.

10032102220200 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 10032102220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16316486035200).

10032102220200 is an abundant number, since it is smaller than the sum of its proper divisors (22600869850200).

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

10032102220200 is a wasteful number, since it uses less digits than its factorization.

10032102220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4061472 (or 4061463 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10032102220200 its reverse (202220123001), we get a palindrome (10234322343201).

The spelling of 10032102220200 in words is "ten trillion, thirty-two billion, one hundred two million, two hundred twenty thousand, two hundred".