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1010323300032 = 263219375214789
BaseRepresentation
bin11101011001110111111…
…01100001111011000000
310120120211011112101212200
432230323331201323000
5113023120231100112
62052045222353200
7132664516232454
oct16547375417300
93516734471780
101010323300032
1135a526189012
1214398328b800
1374371c512b7
1436c854c6664
151b432bd6cdc
hexeb3bf61ec0

1010323300032 has 336 divisors, whose sum is σ = 3137376808800. Its totient is φ = 309765980160.

The previous prime is 1010323300027. The next prime is 1010323300033. The reversal of 1010323300032 is 2300033230101.

1010323300032 is a `hidden beast` number, since 1 + 0 + 10 + 323 + 300 + 0 + 32 = 666.

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 = 1010323299978 and 1010323300014.

It is not an unprimeable number, because it can be changed into a prime (1010323300033) 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, 210965094 + ... + 210969882.

Almost surely, 21010323300032 is an apocalyptic number.

1010323300032 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 1010323300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568688404400).

1010323300032 is an abundant number, since it is smaller than the sum of its proper divisors (2127053508768).

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

1010323300032 is a wasteful number, since it uses less digits than its factorization.

1010323300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5384 (or 5371 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1010323300032 its reverse (2300033230101), we get a palindrome (3310356530133).

The spelling of 1010323300032 in words is "one trillion, ten billion, three hundred twenty-three million, three hundred thousand, thirty-two".