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1012314022220 = 22517192317339383
BaseRepresentation
bin11101011101100101001…
…11100010000101001100
310120202221220102120100002
432232302213202011030
5113041204342202340
62053014534423432
7133065041133314
oct16566247420514
93522856376302
101012314022220
11360357969066
12144239b01b78
13745cb4ca717
1436dd3a48444
151b4ec865715
hexebb29e214c

1012314022220 has 192 divisors, whose sum is σ = 2486749870080. Its totient is φ = 343345508352.

The previous prime is 1012314022171. The next prime is 1012314022249. The reversal of 1012314022220 is 222204132101.

1012314022220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1012314022192 and 1012314022201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25684649 + ... + 25724031.

It is an arithmetic number, because the mean of its divisors is an integer number (12951822240).

Almost surely, 21012314022220 is an apocalyptic number.

1012314022220 is a gapful number since it is divisible by the number (10) 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 1012314022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243374935040).

1012314022220 is an abundant number, since it is smaller than the sum of its proper divisors (1474435847860).

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

1012314022220 is a wasteful number, since it uses less digits than its factorization.

1012314022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39624 (or 39622 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1012314022220 its reverse (222204132101), we get a palindrome (1234518154321).

The spelling of 1012314022220 in words is "one trillion, twelve billion, three hundred fourteen million, twenty-two thousand, two hundred twenty".