Search a number
-
+
21100010202 = 232371131811549
BaseRepresentation
bin10011101001101010…
…001001101011011010
32000110111101120120100
4103221222021223122
5321203100311302
613405422240230
71344610061505
oct235152115332
960414346510
1021100010202
118a48450a67
12410a426076
131cb356014b
14104242813c
15837604d1c
hex4e9a89ada

21100010202 has 96 divisors (see below), whose sum is σ = 47660230800. Its totient is φ = 6740858880.

The previous prime is 21100010177. The next prime is 21100010213. The reversal of 21100010202 is 20201000112.

It can be written as a sum of positive squares in 8 ways, for example, as 1440885681 + 19659124521 = 37959^2 + 140211^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 13620924 + ... + 13622472.

Almost surely, 221100010202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21100010202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23830115400).

21100010202 is an abundant number, since it is smaller than the sum of its proper divisors (26560220598).

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

21100010202 is a wasteful number, since it uses less digits than its factorization.

21100010202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21100010202 its reverse (20201000112), we get a palindrome (41301010314).

The spelling of 21100010202 in words is "twenty-one billion, one hundred million, ten thousand, two hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 113 181 222 226 333 339 362 543 666 678 1017 1086 1549 1629 2034 3098 3258 4181 4647 6697 8362 9294 12543 13394 13941 20091 20453 25086 27882 37629 40182 40906 57313 60273 61359 75258 114626 120546 122718 171939 175037 184077 280369 343878 350074 368154 515817 525111 560738 756761 841107 1031634 1050222 1513522 1575333 1682214 2270283 2523321 3150666 4540566 5046642 6476369 6810849 10373653 12952738 13621698 19429107 20747306 31120959 31681697 38858214 58287321 62241918 63363394 93362877 95045091 116574642 186725754 190090182 285135273 570270546 1172222789 2344445578 3516668367 7033336734 10550005101 21100010202