Search a number
-
+
10020220002 = 23213178532953
BaseRepresentation
bin10010101010100000…
…00110110001100010
3221212022210220202100
421111100012301202
5131010134020002
64334144031230
7503211315252
oct112520066142
927768726670
1010020220002
114282175661
121b37902516
13c38c49a80
146b0b07962
153d9a5411c
hex255406c62

10020220002 has 96 divisors (see below), whose sum is σ = 24793252848. Its totient is φ = 2897399808.

The previous prime is 10020219991. The next prime is 10020220061. The reversal of 10020220002 is 20002202001.

It can be written as a sum of positive squares in 8 ways, for example, as 3540131001 + 6480089001 = 59499^2 + 80499^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3391758 + ... + 3394710.

Almost surely, 210020220002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020220002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12396626424).

10020220002 is an abundant number, since it is smaller than the sum of its proper divisors (14773032846).

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

10020220002 is a wasteful number, since it uses less digits than its factorization.

10020220002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3844 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 10020220002 its reverse (20002202001), we get a palindrome (30022422003).

The spelling of 10020220002 in words is "ten billion, twenty million, two hundred twenty thousand, two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 853 1326 1706 1989 2559 2953 3978 5118 5906 7677 8859 11089 14501 15354 17718 22178 26577 29002 33267 38389 43503 50201 53154 66534 76778 87006 99801 100402 115167 130509 150603 188513 199602 230334 261018 301206 345501 377026 451809 565539 652613 691002 903618 1131078 1305226 1696617 1957839 2518909 3393234 3915678 5037818 5873517 7556727 11747034 15113454 22670181 32745817 42821453 45340362 65491634 85642906 98237451 128464359 196474902 256928718 294712353 385393077 556678889 589424706 770786154 1113357778 1670036667 3340073334 5010110001 10020220002