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211341042 = 233111720929
BaseRepresentation
bin11001001100011…
…00111011110010
3112201200020102000
430212030323302
5413100403132
632545434430
75144240433
oct1446147362
9481606360
10211341042
11a9329720
125a93ba16
1334a28393
14200d548a
151384987c
hexc98cef2

211341042 has 64 divisors (see below), whose sum is σ = 542505600. Its totient is φ = 60272640.

The previous prime is 211341041. The next prime is 211341061. The reversal of 211341042 is 240143112.

211341042 is a `hidden beast` number, since 211 + 3 + 410 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (211341041) 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, 367 + ... + 20562.

It is an arithmetic number, because the mean of its divisors is an integer number (8476650).

Almost surely, 2211341042 is an apocalyptic number.

211341042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211341042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271252800).

211341042 is an abundant number, since it is smaller than the sum of its proper divisors (331164558).

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

211341042 is a wasteful number, since it uses less digits than its factorization.

211341042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20968 (or 20962 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 211341042 is about 14537.5734563922. The cubic root of 211341042 is about 595.6547574106.

Adding to 211341042 its reverse (240143112), we get a palindrome (451484154).

The spelling of 211341042 in words is "two hundred eleven million, three hundred forty-one thousand, forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 918 1122 1683 3366 5049 10098 20929 41858 62787 125574 188361 230219 355793 376722 460438 565083 690657 711586 1067379 1130166 1381314 2071971 2134758 3202137 3913723 4143942 6215913 6404274 7827446 9606411 11741169 12431826 19212822 23482338 35223507 70447014 105670521 211341042