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202042420404 = 2231110116679091
BaseRepresentation
bin1011110000101010101…
…0101010110010110100
3201022111200110101120120
42330022222222302310
511302240324423104
6232452250131540
720411541144306
oct2741252526264
9638450411516
10202042420404
117875a751950
12331a7720bb0
131608b4c9966
149ac945d976
1553c7915cd9
hex2f0aaaacb4

202042420404 has 96 divisors (see below), whose sum is σ = 519750508032. Its totient is φ = 60575760000.

The previous prime is 202042420399. The next prime is 202042420417. The reversal of 202042420404 is 404024240202.

202042420404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2020424204042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 22219899 + ... + 22228989.

It is an arithmetic number, because the mean of its divisors is an integer number (5414067792).

Almost surely, 2202042420404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202042420404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259875254016).

202042420404 is an abundant number, since it is smaller than the sum of its proper divisors (317708087628).

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

202042420404 is a wasteful number, since it uses less digits than its factorization.

202042420404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10877 (or 10875 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 202042420404 its reverse (404024240202), we get a palindrome (606066660606).

It can be divided in two parts, 2020 and 42420404, that added together give a palindrome (42422424).

The spelling of 202042420404 in words is "two hundred two billion, forty-two million, four hundred twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 1667 2222 3333 3334 4444 5001 6666 6668 9091 10002 13332 18182 18337 20004 27273 36364 36674 54546 55011 73348 100001 109092 110022 168367 200002 220044 300003 336734 400004 505101 600006 673468 918191 1010202 1200012 1836382 1852037 2020404 2754573 3672764 3704074 5509146 5556111 7408148 10100101 11018292 11112222 15154697 20200202 22224444 30300303 30309394 40400404 45464091 60600606 60618788 90928182 121201212 166701667 181856364 333403334 500105001 666806668 1000210002 1530624397 2000420004 3061248794 4591873191 6122497588 9183746382 16836868367 18367492764 33673736734 50510605101 67347473468 101021210202 202042420404