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210011020 = 225411931327
BaseRepresentation
bin11001000010010…
…00001110001100
3112122011122221221
430201020032030
5412230323040
632501133124
75130031012
oct1441101614
9478148857
10210011020
11a860042a
125a3ba1a4
1334680b9b
141dc6a8b2
151368574a
hexc84838c

210011020 has 48 divisors (see below), whose sum is σ = 454462848. Its totient is φ = 81469440.

The previous prime is 210010991. The next prime is 210011029. The reversal of 210011020 is 20110012.

It is a junction number, because it is equal to n+sod(n) for n = 210010994 and 210011012.

It is not an unprimeable number, because it can be changed into a prime (210011029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157597 + ... + 158923.

It is an arithmetic number, because the mean of its divisors is an integer number (9467976).

Almost surely, 2210011020 is an apocalyptic number.

210011020 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 210011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227231424).

210011020 is an abundant number, since it is smaller than the sum of its proper divisors (244451828).

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

210011020 is a wasteful number, since it uses less digits than its factorization.

210011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 210011020 is about 14491.7569673246. The cubic root of 210011020 is about 594.4025922405.

Adding to 210011020 its reverse (20110012), we get a palindrome (230121032).

The spelling of 210011020 in words is "two hundred ten million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 193 205 386 410 772 820 965 1327 1930 2654 3860 5308 6635 7913 13270 15826 26540 31652 39565 54407 79130 108814 158260 217628 256111 272035 512222 544070 1024444 1088140 1280555 2561110 5122220 10500551 21001102 42002204 52502755 105005510 210011020