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1012220010112 = 2717465174637
BaseRepresentation
bin11101011101011010000…
…00111001111010000000
310120202201100112020222011
432232231000321322000
5113041011310310422
62053001335422304
7133062520060453
oct16565500717200
93522640466864
101012220010112
11360309897403
12144212524994
13745b4ba255c
1436dc537549a
151b4e4495077
hexebad039e80

1012220010112 has 32 divisors (see below), whose sum is σ = 2135151588420. Its totient is φ = 476338827264.

The previous prime is 1012220010097. The next prime is 1012220010133. The reversal of 1012220010112 is 2110100222101.

It can be written as a sum of positive squares in 2 ways, for example, as 967421747776 + 44798262336 = 983576^2 + 211656^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10122200101122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012220010092 and 1012220010101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 232585143 + ... + 232589494.

Almost surely, 21012220010112 is an apocalyptic number.

It is an amenable number.

1012220010112 is an abundant number, since it is smaller than the sum of its proper divisors (1122931578308).

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

1012220010112 is an equidigital number, since it uses as much as digits as its factorization.

1012220010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465174668 (or 465174656 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1012220010112 its reverse (2110100222101), we get a palindrome (3122320232213).

The spelling of 1012220010112 in words is "one trillion, twelve billion, two hundred twenty million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 465174637 930349274 1860698548 3721397096 7442794192 7907968829 14885588384 15815937658 29771176768 31631875316 59542353536 63263750632 126527501264 253055002528 506110005056 1012220010112