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20011313322 = 232711132372309
BaseRepresentation
bin10010101000110001…
…000110100010101010
31220122121211001012200
4102220301012202222
5311440344011242
613105411521030
71305620233230
oct225061064252
956577731180
1020011313322
118539956980
123a658b9176
131b6bb39200
14d7b9cc950
157c1c5304c
hex4a8c468aa

20011313322 has 288 divisors, whose sum is σ = 60142642560. Its totient is φ = 4666222080.

The previous prime is 20011313299. The next prime is 20011313339. The reversal of 20011313322 is 22331311002.

20011313322 is a `hidden beast` number, since 20 + 0 + 11 + 313 + 322 = 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 = 20011313295 and 20011313304.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8665504 + ... + 8667812.

It is an arithmetic number, because the mean of its divisors is an integer number (208828620).

Almost surely, 220011313322 is an apocalyptic number.

20011313322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20011313322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30071321280).

20011313322 is an abundant number, since it is smaller than the sum of its proper divisors (40131329238).

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

20011313322 is a wasteful number, since it uses less digits than its factorization.

20011313322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398 (or 2382 counting only the distinct ones).

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

Adding to 20011313322 its reverse (22331311002), we get a palindrome (42342624324).

It can be divided in two parts, 20011 and 313322, that added together give a palindrome (333333).

The spelling of 20011313322 in words is "twenty billion, eleven million, three hundred thirteen thousand, three hundred twenty-two".