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211311020 = 22517236559
BaseRepresentation
bin11001001100001…
…01100110101100
3112201121201020002
430212011212230
5413043423040
632545043432
75144054054
oct1446054654
9481551202
10211311020
11a9309108
125a926578
1334a1780b
14200c8564
1513840a15
hexc9859ac

211311020 has 36 divisors (see below), whose sum is σ = 471404640. Its totient is φ = 79550208.

The previous prime is 211310993. The next prime is 211311029. The reversal of 211311020 is 20113112.

211311020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 211310992 and 211311010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211311029) 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 11 ways as a sum of consecutive naturals, for example, 12500 + ... + 24059.

Almost surely, 2211311020 is an apocalyptic number.

211311020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211311020 is an abundant number, since it is smaller than the sum of its proper divisors (260093620).

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

211311020 is a wasteful number, since it uses less digits than its factorization.

211311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36602 (or 36583 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 211311020 is about 14536.5408539996. The cubic root of 211311020 is about 595.6265508780.

Adding to 211311020 its reverse (20113112), we get a palindrome (231424132).

The spelling of 211311020 in words is "two hundred eleven million, three hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5780 36559 73118 146236 182795 365590 621503 731180 1243006 2486012 3107515 6215030 10565551 12430060 21131102 42262204 52827755 105655510 211311020