Search a number
-
+
210010020011220 = 22351113132911841599
BaseRepresentation
bin101111110000000011000100…
…101001000101110011010100
31000112120202120101021121202110
4233300003010221011303110
5210011301010110324340
62022353134334111020
762143503033450612
oct5760030451056324
91015522511247673
10210010020011220
1160a0882738a080
121b67942294b470
139024b242c0110
1439c07798046b2
151942c989e4680
hexbf00c4a45cd4

210010020011220 has 192 divisors, whose sum is σ = 690882516172800. Its totient is φ = 46991687846400.

The previous prime is 210010020011213. The next prime is 210010020011243. The reversal of 210010020011220 is 22110020010012.

It is a super-2 number, since 2×2100100200112202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 210010020011196 and 210010020011205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113115981 + ... + 114957579.

It is an arithmetic number, because the mean of its divisors is an integer number (3598346438400).

Almost surely, 2210010020011220 is an apocalyptic number.

210010020011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210010020011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345441258086400).

210010020011220 is an abundant number, since it is smaller than the sum of its proper divisors (480872496161580).

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

210010020011220 is a wasteful number, since it uses less digits than its factorization.

210010020011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854926 (or 1854924 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210010020011220 its reverse (22110020010012), we get a palindrome (232120040021232).

The spelling of 210010020011220 in words is "two hundred ten trillion, ten billion, twenty million, eleven thousand, two hundred twenty".