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211301142 = 23135379647
BaseRepresentation
bin11001001100000…
…11001100010110
3112201121012200020
430212003030112
5413043114032
632544530010
75144013213
oct1446031426
9481535606
10211301142
11a9301748
125a920906
1334a13180
14200c4b0a
151383cb2c
hexc983316

211301142 has 64 divisors (see below), whose sum is σ = 470292480. Its totient is φ = 62884224.

The previous prime is 211301141. The next prime is 211301159. The reversal of 211301142 is 241103112.

211301142 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2113011422 = 89296345221008328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211301141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326263 + ... + 326909.

It is an arithmetic number, because the mean of its divisors is an integer number (7348320).

Almost surely, 2211301142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211301142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235146240).

211301142 is an abundant number, since it is smaller than the sum of its proper divisors (258991338).

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

211301142 is a wasteful number, since it uses less digits than its factorization.

211301142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 211301142 is about 14536.2010855657. The cubic root of 211301142 is about 595.6172696287.

Adding to 211301142 its reverse (241103112), we get a palindrome (452404254).

The spelling of 211301142 in words is "two hundred eleven million, three hundred one thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 26 39 53 78 79 106 158 159 237 318 474 647 689 1027 1294 1378 1941 2054 2067 3081 3882 4134 4187 6162 8374 8411 12561 16822 25122 25233 34291 50466 51113 54431 68582 102226 102873 108862 153339 163293 205746 306678 326586 445783 664469 891566 1328938 1337349 1993407 2674698 2708989 3986814 5417978 8126967 16253934 35216857 70433714 105650571 211301142