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10132020444 = 223713231093701
BaseRepresentation
bin10010110111110101…
…00101110011011100
3222011010011222010110
421123322211303130
5131222244123234
64353220210020
7506036516130
oct113372456334
928133158113
1010132020444
11432a296a17
121b69239910
13c56162790
146c18cb3c0
153e478a1e9
hex25bea5cdc

10132020444 has 192 divisors, whose sum is σ = 30649006080. Its totient is φ = 2531865600.

The previous prime is 10132020419. The next prime is 10132020463. The reversal of 10132020444 is 44402023101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10132020444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2735794 + ... + 2739494.

It is an arithmetic number, because the mean of its divisors is an integer number (159630240).

Almost surely, 210132020444 is an apocalyptic number.

10132020444 is a gapful number since it is divisible by the number (14) 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 10132020444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15324503040).

10132020444 is an abundant number, since it is smaller than the sum of its proper divisors (20516985636).

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

10132020444 is a wasteful number, since it uses less digits than its factorization.

10132020444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3860 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10132020444 its reverse (44402023101), we get a palindrome (54534043545).

The spelling of 10132020444 in words is "ten billion, one hundred thirty-two million, twenty thousand, four hundred forty-four".