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10042344020 = 2254127145191
BaseRepresentation
bin10010101101001001…
…00000001001010100
3221220212102221012102
421112210200021110
5131031320002040
64340254141232
7503600341622
oct112644401124
927825387172
1010042344020
114293706775
121b431b1818
13c406c4bc7
146b3a26512
153db974515
hex256920254

10042344020 has 48 divisors (see below), whose sum is σ = 21683483136. Its totient is φ = 3904416000.

The previous prime is 10042344007. The next prime is 10042344029. The reversal of 10042344020 is 2044324001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10042343983 and 10042344001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042344029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199625 + ... + 244815.

It is an arithmetic number, because the mean of its divisors is an integer number (451739232).

Almost surely, 210042344020 is an apocalyptic number.

10042344020 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 10042344020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10841741568).

10042344020 is an abundant number, since it is smaller than the sum of its proper divisors (11641139116).

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

10042344020 is a wasteful number, since it uses less digits than its factorization.

10042344020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45512 (or 45510 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10042344020 its reverse (2044324001), we get a palindrome (12086668021).

The spelling of 10042344020 in words is "ten billion, forty-two million, three hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 271 410 542 820 1084 1355 2710 5420 11111 22222 44444 45191 55555 90382 111110 180764 222220 225955 451910 903820 1852831 3705662 7411324 9264155 12246761 18528310 24493522 37056620 48987044 61233805 122467610 244935220 502117201 1004234402 2008468804 2510586005 5021172010 10042344020