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211312020 = 22353521867
BaseRepresentation
bin11001001100001…
…01110110010100
3112201121202121010
430212011312110
5413043441040
632545052220
75144060013
oct1446056624
9481552533
10211312020
11a9309937
125a927070
1334a180ca
14200c8a7a
1513840e80
hexc985d94

211312020 has 24 divisors (see below), whose sum is σ = 591673824. Its totient is φ = 56349856.

The previous prime is 211311983. The next prime is 211312043. The reversal of 211312020 is 20213112.

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 = 211311987 and 211312005.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1760874 + ... + 1760993.

It is an arithmetic number, because the mean of its divisors is an integer number (24653076).

Almost surely, 2211312020 is an apocalyptic number.

211312020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211312020 is an abundant number, since it is smaller than the sum of its proper divisors (380361804).

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

211312020 is a wasteful number, since it uses less digits than its factorization.

211312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521879 (or 3521877 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 211312020 is about 14536.5752500374. The cubic root of 211312020 is about 595.6274904497.

Adding to 211312020 its reverse (20213112), we get a palindrome (231525132).

The spelling of 211312020 in words is "two hundred eleven million, three hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3521867 7043734 10565601 14087468 17609335 21131202 35218670 42262404 52828005 70437340 105656010 211312020