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211131324 = 223237158507
BaseRepresentation
bin11001001010110…
…01101110111100
3112201021120201200
430211121232330
5413022200244
632541135500
75142405135
oct1445315674
9481246650
10211131324
11a91a60a8
125a85a590
1334983aa1
142007cc8c
1513807669
hexc959bbc

211131324 has 36 divisors (see below), whose sum is σ = 548120664. Its totient is φ = 68474592.

The previous prime is 211131307. The next prime is 211131331. The reversal of 211131324 is 423131112.

211131324 is a `hidden beast` number, since 211 + 131 + 324 = 666.

211131324 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 211131297 and 211131306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77922 + ... + 80585.

It is an arithmetic number, because the mean of its divisors is an integer number (15225574).

Almost surely, 2211131324 is an apocalyptic number.

It is an amenable number.

211131324 is an abundant number, since it is smaller than the sum of its proper divisors (336989340).

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

211131324 is a wasteful number, since it uses less digits than its factorization.

211131324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158554 (or 158549 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 211131324 is about 14530.3587016976. The cubic root of 211131324 is about 595.4576654400.

Adding to 211131324 its reverse (423131112), we get a palindrome (634262436).

The spelling of 211131324 in words is "two hundred eleven million, one hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 158507 317014 475521 634028 951042 1426563 1902084 2853126 5706252 5864759 11729518 17594277 23459036 35188554 52782831 70377108 105565662 211131324