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112202110001033 = 1326611004414237
BaseRepresentation
bin11001100000110000010110…
…111010001101111110001001
3112201021102020222000110211222
4121200300112322031332021
5104201304410130013113
61034344534315331425
732430222611631263
oct3140602672157611
9481242228013758
10112202110001033
1132829713aa1188
121070162b750b75
134a7b7c9034a00
141d9c87ac02b33
15ce897b004e08
hex660c16e8df89

112202110001033 has 12 divisors (see below), whose sum is σ = 121680767276748. Its totient is φ = 103414489738560.

The previous prime is 112202110001021. The next prime is 112202110001063. The reversal of 112202110001033 is 330100011202211.

It can be written as a sum of positive squares in 6 ways, for example, as 917080115449 + 111285029885584 = 957643^2 + 10549172^2 .

It is not a de Polignac number, because 112202110001033 - 24 = 112202110001017 is a prime.

It is a super-2 number, since 2×1122021100010332 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112202110001063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 502095410 + ... + 502318827.

It is an arithmetic number, because the mean of its divisors is an integer number (10140063939729).

Almost surely, 2112202110001033 is an apocalyptic number.

112202110001033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

112202110001033 is a deficient number, since it is larger than the sum of its proper divisors (9478657275715).

112202110001033 is a wasteful number, since it uses less digits than its factorization.

112202110001033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004414924 (or 1004414911 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 112202110001033 its reverse (330100011202211), we get a palindrome (442302121203244).

The spelling of 112202110001033 in words is "one hundred twelve trillion, two hundred two billion, one hundred ten million, one thousand, thirty-three".

Divisors: 1 13 169 661 8593 111709 1004414237 13057385081 169746006053 663917810657 8630931538541 112202110001033