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211201022032 = 247112135322619
BaseRepresentation
bin1100010010110010001…
…1111101100001010000
3202012010221222120010021
43010230203331201100
511430014430201112
6241005134513224
721154521031630
oct3045443754120
9665127876107
10211201022032
118162a51a900
1234b22965814
1316bbaa9b070
14a31795c6c0
1557619c0907
hex312c8fd850

211201022032 has 240 divisors, whose sum is σ = 564050148480. Its totient is φ = 74519976960.

The previous prime is 211201022017. The next prime is 211201022033. The reversal of 211201022032 is 230220102112.

It is a happy number.

It is a super-2 number, since 2×2112010220322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 211201021997 and 211201022015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211201022033) 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 47 ways as a sum of consecutive naturals, for example, 9326019 + ... + 9348637.

It is an arithmetic number, because the mean of its divisors is an integer number (2350208952).

Almost surely, 2211201022032 is an apocalyptic number.

211201022032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211201022032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282025074240).

211201022032 is an abundant number, since it is smaller than the sum of its proper divisors (352849126448).

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

211201022032 is a wasteful number, since it uses less digits than its factorization.

211201022032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22722 (or 22705 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 211201022032 its reverse (230220102112), we get a palindrome (441421124144).

The spelling of 211201022032 in words is "two hundred eleven billion, two hundred one million, twenty-two thousand, thirty-two".