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211031230032 = 243274313935027
BaseRepresentation
bin1100010010001001110…
…0010000011001010000
3202011201010111020021200
43010202130100121100
511424142443330112
6240540231351200
721150356600340
oct3044234203120
9664633436250
10211031230032
118155269a637
1234a95b22500
1316b9185c61c
14a2dd1a0d20
155751b31cdc
hex3122710650

211031230032 has 240 divisors, whose sum is σ = 695650475520. Its totient is φ = 58467080448.

The previous prime is 211031229977. The next prime is 211031230051. The reversal of 211031230032 is 230032130112.

211031230032 is a `hidden beast` number, since 21 + 1 + 0 + 312 + 300 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 211031229987 and 211031230014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6007303 + ... + 6042329.

It is an arithmetic number, because the mean of its divisors is an integer number (2898543648).

Almost surely, 2211031230032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211031230032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347825237760).

211031230032 is an abundant number, since it is smaller than the sum of its proper divisors (484619245488).

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

211031230032 is a wasteful number, since it uses less digits than its factorization.

211031230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35230 (or 35221 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 211031230032 its reverse (230032130112), we get a palindrome (441063360144).

The spelling of 211031230032 in words is "two hundred eleven billion, thirty-one million, two hundred thirty thousand, thirty-two".