Search a number
-
+
202020121012010 = 257220891013319477
BaseRepresentation
bin101101111011110001111001…
…100011001110011100101010
3222111021221020120201020001112
4231323301321203032130222
5202434344201434341020
61553354432401350322
760360320632514300
oct5573617143163452
9874257216636045
10202020121012010
1159408285726284
121a7a8a299383a2
1388955532ba602
1437c5b7c89a270
15185501873d2c5
hexb7bc798ce72a

202020121012010 has 96 divisors (see below), whose sum is σ = 423271384105680. Its totient is φ = 69220498572288.

The previous prime is 202020121011937. The next prime is 202020121012037. The reversal of 202020121012010 is 10210121020202.

It can be written as a sum of positive squares in 8 ways, for example, as 175883906467129 + 26136214544881 = 13262123^2 + 5112359^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10372230392 + ... + 10372249868.

Almost surely, 2202020121012010 is an apocalyptic number.

202020121012010 is an abundant number, since it is smaller than the sum of its proper divisors (221251263093670).

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

202020121012010 is a wasteful number, since it uses less digits than its factorization.

202020121012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31720 (or 31713 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202020121012010 its reverse (10210121020202), we get a palindrome (212230242032212).

The spelling of 202020121012010 in words is "two hundred two trillion, twenty billion, one hundred twenty-one million, twelve thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 2089 4178 10133 10445 14623 19477 20266 20890 29246 38954 50665 70931 73115 97385 101330 102361 136339 141862 146230 194770 204722 272678 354655 496517 511805 681695 709310 954373 993034 1023610 1363390 1908746 2482585 4771865 4965170 9543730 21167837 40687453 42335674 81374906 105839185 148174859 197360441 203437265 211678370 284812171 296349718 394720882 406874530 569624342 740874295 986802205 1037224013 1381523087 1424060855 1481748590 1973604410 1993685197 2074448026 2763046174 2848121710 3987370394 5186120065 6907615435 9670661609 9968425985 10372240130 13815230870 19341323218 19936851970 48353308045 96706616090 412285961249 824571922498 2061429806245 2886001728743 4122859612490 5772003457486 14430008643715 20202012101201 28860017287430 40404024202402 101010060506005 202020121012010