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10031344132320 = 253457383449643
BaseRepresentation
bin1001000111111001101010…
…1101000010000011100000
31022111222122121202011010000
42101332122231002003200
52303323143044213240
633200200314340000
72053512026152260
oct221763255020340
938458577664100
1010031344132320
1132182a6278605
121160184a2a600
13579c4ab3ac94
1426973bca57a0
15125e11a78430
hex91f9ab420e0

10031344132320 has 960 divisors, whose sum is σ = 40718968012800. Its totient is φ = 2278250053632.

The previous prime is 10031344132301. The next prime is 10031344132321. The reversal of 10031344132320 is 2323144313001.

It is a happy number.

10031344132320 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 13 + 4 + 413 + 232 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031344132321) 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 159 ways as a sum of consecutive naturals, for example, 15600845919 + ... + 15600846561.

It is an arithmetic number, because the mean of its divisors is an integer number (42415591680).

Almost surely, 210031344132320 is an apocalyptic number.

10031344132320 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 10031344132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20359484006400).

10031344132320 is an abundant number, since it is smaller than the sum of its proper divisors (30687623880480).

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

10031344132320 is a wasteful number, since it uses less digits than its factorization.

10031344132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10031344132320 its reverse (2323144313001), we get a palindrome (12354488445321).

The spelling of 10031344132320 in words is "ten trillion, thirty-one billion, three hundred forty-four million, one hundred thirty-two thousand, three hundred twenty".