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20211340032 = 283213251907
BaseRepresentation
bin10010110100101100…
…001001001100000000
31221011120012110021100
4102310230021030000
5312343100340112
613141315054400
71313566361412
oct226454111400
957146173240
1020211340032
118631857a04
123b008a1400
131ba1402700
14d9a3ba9b2
157d45b52dc
hex4b4b09300

20211340032 has 162 divisors, whose sum is σ = 63102946452. Its totient is φ = 6218754048.

The previous prime is 20211339991. The next prime is 20211340073. The reversal of 20211340032 is 23004311202.

20211340032 is a `hidden beast` number, since 20 + 211 + 3 + 400 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (20211339991) and next prime (20211340073).

It is a super-2 number, since 2×202113400322 (a number of 21 digits) contains 22 as substring.

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 = 20211339987 and 20211340014.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 363423 + ... + 415329.

Almost surely, 220211340032 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 20211340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31551473226).

20211340032 is an abundant number, since it is smaller than the sum of its proper divisors (42891606420).

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

20211340032 is a wasteful number, since it uses less digits than its factorization.

20211340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51955 (or 51925 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20211340032 its reverse (23004311202), we get a palindrome (43215651234).

The spelling of 20211340032 in words is "twenty billion, two hundred eleven million, three hundred forty thousand, thirty-two".