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211303020 = 223518119457
BaseRepresentation
bin11001001100000…
…11101001101100
3112201121022020210
430212003221230
5413043144040
632544542420
75144021535
oct1446035154
9481538223
10211303020
11a93030a5
125a921a10
1334a13c96
14200c568c
151383d480
hexc983a6c

211303020 has 48 divisors (see below), whose sum is σ = 594947808. Its totient is φ = 56033280.

The previous prime is 211302991. The next prime is 211303021. The reversal of 211303020 is 20303112.

It is a happy number.

It is a super-2 number, since 2×2113030202 = 89297932522240800, which 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 = 211302987 and 211303005.

It is not an unprimeable number, because it can be changed into a prime (211303021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1132 + ... + 20588.

It is an arithmetic number, because the mean of its divisors is an integer number (12394746).

Almost surely, 2211303020 is an apocalyptic number.

211303020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211303020 is an abundant number, since it is smaller than the sum of its proper divisors (383644788).

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

211303020 is a wasteful number, since it uses less digits than its factorization.

211303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19650 (or 19648 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 211303020 is about 14536.2656827674. The cubic root of 211303020 is about 595.6190341970.

Adding to 211303020 its reverse (20303112), we get a palindrome (231606132).

The spelling of 211303020 in words is "two hundred eleven million, three hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 181 362 543 724 905 1086 1810 2172 2715 3620 5430 10860 19457 38914 58371 77828 97285 116742 194570 233484 291855 389140 583710 1167420 3521717 7043434 10565151 14086868 17608585 21130302 35217170 42260604 52825755 70434340 105651510 211303020