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211031212032 = 21433716719
BaseRepresentation
bin1100010010001001110…
…0001100000000000000
3202011201010110022121000
43010202130030000000
511424142442241112
6240540231132000
721150356464014
oct3044234140000
9664633408530
10211031212032
1181552688063
1234a95b14000
1316b91854384
14a2dd198544
155751b2b7dc
hex312270c000

211031212032 has 240 divisors, whose sum is σ = 634159411200. Its totient is φ = 69342658560.

The previous prime is 211031211983. The next prime is 211031212039. The reversal of 211031212032 is 230212130112.

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 = 211031211996 and 211031212014.

It is not an unprimeable number, because it can be changed into a prime (211031212039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31404769 + ... + 31411487.

It is an arithmetic number, because the mean of its divisors is an integer number (2642330880).

Almost surely, 2211031212032 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 211031212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317079705600).

211031212032 is an abundant number, since it is smaller than the sum of its proper divisors (423128199168).

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

211031212032 is an frugal number, since it uses more digits than its factorization.

211031212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6827 (or 6795 counting only the distinct ones).

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

Adding to 211031212032 its reverse (230212130112), we get a palindrome (441243342144).

The spelling of 211031212032 in words is "two hundred eleven billion, thirty-one million, two hundred twelve thousand, thirty-two".