Search a number
-
+
21020100110010 = 2325709329417021
BaseRepresentation
bin1001100011110000111111…
…00110011010011010111010
32202102111112220210022111200
410301320133212122122322
510223343131112010020
6112412300051435030
74266436450625511
oct461703746323272
982374486708450
1021020100110010
1167746355790a1
122435a04bb5a76
13b96257908aa1
14529541da9678
15266bab040590
hex131e1f99a6ba

21020100110010 has 48 divisors (see below), whose sum is σ = 54729344035080. Its totient is φ = 5597454003840.

The previous prime is 21020100109949. The next prime is 21020100110011. The reversal of 21020100110010 is 1001100102012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9504821174121 + 11515278935889 = 3082989^2 + 3393417^2 .

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 = 21020100109974 and 21020100110001.

It is not an unprimeable number, because it can be changed into a prime (21020100110011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164644701 + ... + 164772320.

Almost surely, 221020100110010 is an apocalyptic number.

21020100110010 is an abundant number, since it is smaller than the sum of its proper divisors (33709243925070).

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

21020100110010 is a wasteful number, since it uses less digits than its factorization.

21020100110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329417743 (or 329417740 counting only the distinct ones).

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

Adding to 21020100110010 its reverse (1001100102012), we get a palindrome (22021200212022).

The spelling of 21020100110010 in words is "twenty-one trillion, twenty billion, one hundred million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 709 1418 2127 3545 4254 6381 7090 10635 12762 21270 31905 63810 329417021 658834042 988251063 1647085105 1976502126 2964753189 3294170210 4941255315 5929506378 9882510630 14823765945 29647531890 233556667889 467113335778 700670003667 1167783339445 1401340007334 2102010011001 2335566678890 3503350018335 4204020022002 7006700036670 10510050055005 21020100110010