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1001023443420 = 223571121331371321
BaseRepresentation
bin11101001000100011010…
…01011001000111011100
310112200211001012201220220
432210101221121013130
5112400044000142140
62043510330241340
7132215202610050
oct16442151310734
93480731181826
101001023443420
11356593701100
12142008886250
137351c323570
1436642337c60
151b08b528bd0
hexe911a591dc

1001023443420 has 1152 divisors, whose sum is σ = 4022943891456. Its totient is φ = 180652032000.

The previous prime is 1001023443401. The next prime is 1001023443421. The reversal of 1001023443420 is 243443201001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001023443421) 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 383 ways as a sum of consecutive naturals, for example, 757776360 + ... + 757777680.

Almost surely, 21001023443420 is an apocalyptic number.

1001023443420 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 1001023443420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011471945728).

1001023443420 is an abundant number, since it is smaller than the sum of its proper divisors (3021920448036).

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

1001023443420 is a wasteful number, since it uses less digits than its factorization.

1001023443420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1001023443420 its reverse (243443201001), we get a palindrome (1244466644421).

The spelling of 1001023443420 in words is "one trillion, one billion, twenty-three million, four hundred forty-three thousand, four hundred twenty".