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122231001033 = 32671177917209
BaseRepresentation
bin111000111010110001…
…0010000111111001001
3102200111111012012120100
41301311202100333021
54000312114013113
6132052510320013
711554666236411
oct1616542207711
9380444165510
10122231001033
1147924239229
121b832ab9009
13b6ac48151b
145cb7773641
1532a5c97d73
hex1c75890fc9

122231001033 has 24 divisors (see below), whose sum is σ = 179216679200. Its totient is φ = 80259626304.

The previous prime is 122231000999. The next prime is 122231001037. The reversal of 122231001033 is 330100132221.

It is a de Polignac number, because none of the positive numbers 2k-122231001033 is a prime.

It is a super-3 number, since 3×1222310010333 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122231000997 and 122231001015.

It is not an unprimeable number, because it can be changed into a prime (122231001037) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7094133 + ... + 7111341.

Almost surely, 2122231001033 is an apocalyptic number.

It is an amenable number.

122231001033 is a deficient number, since it is larger than the sum of its proper divisors (56985678167).

122231001033 is a wasteful number, since it uses less digits than its factorization.

122231001033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29061 (or 29058 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 122231001033 its reverse (330100132221), we get a palindrome (452331133254).

The spelling of 122231001033 in words is "one hundred twenty-two billion, two hundred thirty-one million, one thousand, thirty-three".

Divisors: 1 3 9 67 201 603 11779 17209 35337 51627 106011 154881 789193 1153003 2367579 3459009 7102737 10377027 202704811 608114433 1824343299 13581222337 40743667011 122231001033