Search a number
-
+
10010101002210 = 2325373006036337
BaseRepresentation
bin1001000110101010100010…
…0000111010111111100010
31022102221211011001022221100
42101222220200322333202
52303001141324032320
633142324340335230
72052130430424321
oct221525040727742
938387734038840
1010010101002210
11320a295064531
1211580366a4516
13577c43a4a6ca
142686c48640b8
151255bbb02790
hex91aa883afe2

10010101002210 has 48 divisors (see below), whose sum is σ = 26729675117496. Its totient is φ = 2597215394304.

The previous prime is 10010101002203. The next prime is 10010101002259. The reversal of 10010101002210 is 1220010101001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7752543666921 + 2257557335289 = 2784339^2 + 1502517^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10010101002192 and 10010101002201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1503014839 + ... + 1503021498.

Almost surely, 210010101002210 is an apocalyptic number.

10010101002210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10010101002210 is an abundant number, since it is smaller than the sum of its proper divisors (16719574115286).

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

10010101002210 is a wasteful number, since it uses less digits than its factorization.

10010101002210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006036387 (or 3006036384 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10010101002210 its reverse (1220010101001), we get a palindrome (11230111103211).

The spelling of 10010101002210 in words is "ten trillion, ten billion, one hundred one million, two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 3006036337 6012072674 9018109011 15030181685 18036218022 27054327033 30060363370 45090545055 54108654066 90181090110 111223344469 135271635165 222446688938 270543270330 333670033407 556116722345 667340066814 1001010100221 1112233444690 1668350167035 2002020200442 3336700334070 5005050501105 10010101002210