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1000002231200 = 2552736159743
BaseRepresentation
bin11101000110101001100…
…01110001101110100000
310112121011212121210010002
432203110301301232200
5112341001032344300
62043221130155132
7132150662501000
oct16432461615640
93477155553102
101000002231200
1135610a20a265
12141982882aa8
13733b889a28b
1436586868000
151b02ba575d5
hexe8d4c71ba0

1000002231200 has 288 divisors, whose sum is σ = 2893664793600. Its totient is φ = 337231641600.

The previous prime is 1000002231197. The next prime is 1000002231209. The reversal of 1000002231200 is 21322000001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1000002231209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16708529 + ... + 16768271.

It is an arithmetic number, because the mean of its divisors is an integer number (10047447200).

Almost surely, 21000002231200 is an apocalyptic number.

1000002231200 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 1000002231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446832396800).

1000002231200 is an abundant number, since it is smaller than the sum of its proper divisors (1893662562400).

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

1000002231200 is an equidigital number, since it uses as much as digits as its factorization.

1000002231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59845 (or 59818 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 1000002231200 its reverse (21322000001), we get a palindrome (1021324231201).

The spelling of 1000002231200 in words is "one trillion, two million, two hundred thirty-one thousand, two hundred".