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211106216232 = 233216971727773
BaseRepresentation
bin1100010010011011101…
…0010011100100101000
3202011220100120221000100
43010212322103210220
511424321142404412
6240551510505400
721152260142112
oct3044672234450
9664810527010
10211106216232
1181590a568aa
1234ab7065260
1316ba4255862
14a3091203b2
1557584e4edc
hex3126e93928

211106216232 has 48 divisors (see below), whose sum is σ = 572083249140. Its totient is φ = 70327231488.

The previous prime is 211106216231. The next prime is 211106216263. The reversal of 211106216232 is 232612601112.

211106216232 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 0 + 621 + 6 + 2 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 204497501796 + 6608714436 = 452214^2 + 81294^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211106216196 and 211106216205.

It is not an unprimeable number, because it can be changed into a prime (211106216231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 741703 + ... + 986070.

Almost surely, 2211106216232 is an apocalyptic number.

It is an amenable number.

211106216232 is an abundant number, since it is smaller than the sum of its proper divisors (360977032908).

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

211106216232 is a wasteful number, since it uses less digits than its factorization.

211106216232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729482 (or 1729475 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 211106216232 its reverse (232612601112), we get a palindrome (443718817344).

The spelling of 211106216232 in words is "two hundred eleven billion, one hundred six million, two hundred sixteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1697 3394 5091 6788 10182 13576 15273 20364 30546 40728 61092 122184 1727773 3455546 5183319 6911092 10366638 13822184 15549957 20733276 31099914 41466552 62199828 124399656 2932030781 5864061562 8796092343 11728123124 17592184686 23456246248 26388277029 35184369372 52776554058 70368738744 105553108116 211106216232