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1022110012014 = 2371383137193853
BaseRepresentation
bin11101101111110101000…
…00010001001001101110
310121201020121022102001220
432313322200101021232
5113221240130341024
62101314552444210
7133562560516320
oct16677240211156
93551217272056
101022110012014
113645245011a3
121461126a9666
13754ccb584a0
1437682a63610
151b8c2875e79
hexedfa81126e

1022110012014 has 256 divisors, whose sum is σ = 2581173762048. Its totient is φ = 262697582592.

The previous prime is 1022110012013. The next prime is 1022110012019. The reversal of 1022110012014 is 4102100112201.

It is a junction number, because it is equal to n+sod(n) for n = 1022110011984 and 1022110012002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022110012013) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1198252812 + ... + 1198253664.

It is an arithmetic number, because the mean of its divisors is an integer number (10082710008).

Almost surely, 21022110012014 is an apocalyptic number.

1022110012014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022110012014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290586881024).

1022110012014 is an abundant number, since it is smaller than the sum of its proper divisors (1559063750034).

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

1022110012014 is a wasteful number, since it uses less digits than its factorization.

1022110012014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1022110012014 its reverse (4102100112201), we get a palindrome (5124210124215).

The spelling of 1022110012014 in words is "one trillion, twenty-two billion, one hundred ten million, twelve thousand, fourteen".