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1032200230320 = 243457157144941
BaseRepresentation
bin11110000010100111110…
…11011001010110110000
310122200021210211121110000
433001103323121112300
5113402421224332240
62110104121110000
7134400612123360
oct17012373312660
93580253747400
101032200230320
11368832136596
12148069928300
137644a44306c
1437d5cb8c9a0
151bcb3605430
hexf053ed95b0

1032200230320 has 400 divisors, whose sum is σ = 4123249720128. Its totient is φ = 234427115520.

The previous prime is 1032200230307. The next prime is 1032200230337. The reversal of 1032200230320 is 230320022301.

It is a happy number.

1032200230320 is a `hidden beast` number, since 1 + 0 + 322 + 0 + 0 + 23 + 0 + 320 = 666.

It is a super-2 number, since 2×10322002303202 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1032200230293 and 1032200230302.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7049050 + ... + 7193990.

Almost surely, 21032200230320 is an apocalyptic number.

1032200230320 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 1032200230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061624860064).

1032200230320 is an abundant number, since it is smaller than the sum of its proper divisors (3091049489808).

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

1032200230320 is a wasteful number, since it uses less digits than its factorization.

1032200230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145130 (or 145115 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 1032200230320 its reverse (230320022301), we get a palindrome (1262520252621).

The spelling of 1032200230320 in words is "one trillion, thirty-two billion, two hundred million, two hundred thirty thousand, three hundred twenty".