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2021123013 = 3713172915017
BaseRepresentation
bin111100001110111…
…1110001111000101
312012212002200112220
41320131332033011
513114401414023
6532315402553
7101041155630
oct17035761705
95185080486
102021123013
119479646a8
12484a53459
132629619a0
141525d6c17
15bc6863e3
hex7877e3c5

2021123013 has 64 divisors (see below), whose sum is σ = 3633154560. Its totient is φ = 968712192.

The previous prime is 2021123009. The next prime is 2021123029. The reversal of 2021123013 is 3103211202.

It is not a de Polignac number, because 2021123013 - 22 = 2021123009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2021122983 and 2021123001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021123053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127081 + ... + 142097.

It is an arithmetic number, because the mean of its divisors is an integer number (56768040).

Almost surely, 22021123013 is an apocalyptic number.

It is an amenable number.

2021123013 is a deficient number, since it is larger than the sum of its proper divisors (1612031547).

2021123013 is a wasteful number, since it uses less digits than its factorization.

2021123013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15086.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2021123013 is about 44956.9017282108. The cubic root of 2021123013 is about 1264.3410802838.

Adding to 2021123013 its reverse (3103211202), we get a palindrome (5124334215).

The spelling of 2021123013 in words is "two billion, twenty-one million, one hundred twenty-three thousand, thirteen".

Divisors: 1 3 7 13 17 21 29 39 51 87 91 119 203 221 273 357 377 493 609 663 1131 1479 1547 2639 3451 4641 6409 7917 10353 15017 19227 44863 45051 105119 134589 195221 255289 315357 435493 585663 765867 1306479 1366547 1787023 3048451 3318757 4099641 5361069 5661409 7403381 9145353 9956271 16984227 22210143 23231299 39629863 51823667 69693897 96243953 118889589 155471001 288731859 673707671 2021123013