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11312020 = 2251095189
BaseRepresentation
bin101011001001…
…101110010100
3210021201011201
4223021232110
510343441040
61042242244
7165102436
oct53115624
923251151
1011312020
116426985
123956384
132460b05
141706656
15ed6a9a
hexac9b94

11312020 has 24 divisors (see below), whose sum is σ = 23977800. Its totient is φ = 4482432.

The previous prime is 11312009. The next prime is 11312033. The reversal of 11312020 is 2021311.

11312020 = T400 + T401 + ... + T508.

11312020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3370896 + 7941124 = 1836^2 + 2818^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11311988 and 11312006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 415 + ... + 4774.

It is an arithmetic number, because the mean of its divisors is an integer number (999075).

Almost surely, 211312020 is an apocalyptic number.

11312020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11312020 is an abundant number, since it is smaller than the sum of its proper divisors (12665780).

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

11312020 is a wasteful number, since it uses less digits than its factorization.

11312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5307 (or 5305 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 11312020 is about 3363.3346547734. The cubic root of 11312020 is about 224.4812410851.

Adding to 11312020 its reverse (2021311), we get a palindrome (13333331).

The spelling of 11312020 in words is "eleven million, three hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 109 218 436 545 1090 2180 5189 10378 20756 25945 51890 103780 565601 1131202 2262404 2828005 5656010 11312020