Search a number
-
+
10001313344022 = 23711213317477551
BaseRepresentation
bin1001000110001001110010…
…1110101010101000010110
31022102010010201112001010120
42101202130232222220112
52302330142204002042
633134312342332410
72051366603522520
oct221423456525026
938363121461116
1010001313344022
113206595715900
1211563a372a106
13577173286170
142680cd724a10
151252553bbdec
hex9189cbaaa16

10001313344022 has 192 divisors, whose sum is σ = 27145553283072. Its totient is φ = 2390347872000.

The previous prime is 10001313344003. The next prime is 10001313344081. The reversal of 10001313344022 is 22044331310001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10001313343983 and 10001313344001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20704147 + ... + 21181697.

It is an arithmetic number, because the mean of its divisors is an integer number (141383090016).

Almost surely, 210001313344022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001313344022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13572776641536).

10001313344022 is an abundant number, since it is smaller than the sum of its proper divisors (17144239939050).

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

10001313344022 is a wasteful number, since it uses less digits than its factorization.

10001313344022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477915 (or 477904 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10001313344022 its reverse (22044331310001), we get a palindrome (32045644654023).

The spelling of 10001313344022 in words is "ten trillion, one billion, three hundred thirteen million, three hundred forty-four thousand, twenty-two".