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202013031020 = 225831017871531
BaseRepresentation
bin1011110000100011101…
…0100011101001101100
3201022102122011020220212
42330020322203221230
511302210313443040
6232445320201552
720411033301053
oct2741072435154
9638378136825
10202013031020
11787450a91a9
12331999092b8
13160853a98a8
149ac55ad39a
1553c505cd65
hex2f08ea3a6c

202013031020 has 96 divisors (see below), whose sum is σ = 434423920896. Its totient is φ = 78889248000.

The previous prime is 202013030983. The next prime is 202013031037. The reversal of 202013031020 is 20130310202.

It is a happy number.

202013031020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 202013030986 and 202013031004.

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, 131947655 + ... + 131949185.

It is an arithmetic number, because the mean of its divisors is an integer number (4525249176).

Almost surely, 2202013031020 is an apocalyptic number.

202013031020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202013031020 is an abundant number, since it is smaller than the sum of its proper divisors (232410889876).

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

202013031020 is a wasteful number, since it uses less digits than its factorization.

202013031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 202013031020 its reverse (20130310202), we get a palindrome (222143341222).

The spelling of 202013031020 in words is "two hundred two billion, thirteen million, thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 83 101 166 202 332 404 415 505 787 830 1010 1531 1574 1660 2020 3062 3148 3935 6124 7655 7870 8383 15310 15740 16766 30620 33532 41915 65321 79487 83830 127073 130642 154631 158974 167660 254146 261284 309262 317948 326605 397435 508292 618524 635365 653210 773155 794870 1204897 1270730 1306420 1546310 1589740 2409794 2541460 3092620 4819588 6024485 6597421 12048970 12834373 13194842 24097940 25668746 26389684 32987105 51337492 64171865 65974210 100006451 121694597 128343730 131948420 200012902 243389194 256687460 400025804 486778388 500032255 608472985 1000064510 1216945970 2000129020 2433891940 10100651551 20201303102 40402606204 50503257755 101006515510 202013031020