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122110112033 = 7131936952691
BaseRepresentation
bin111000110111001010…
…1000111000100100001
3102200012001201102000222
41301232111013010201
54000040142041113
6132032511252425
711552000553350
oct1615625070441
9380161642028
10122110112033
1147871a7a568
121b7ba51a115
13b690405a80
145ca56a5997
15329a368e08
hex1c6e547121

122110112033 has 16 divisors (see below), whose sum is σ = 151068091776. Its totient is φ = 96113986560.

The previous prime is 122110112011. The next prime is 122110112081. The reversal of 122110112033 is 330211011221.

It is a cyclic number.

It is not a de Polignac number, because 122110112033 - 214 = 122110095649 is a prime.

It is a super-2 number, since 2×1221101120332 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122110112233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3458783 + ... + 3493908.

It is an arithmetic number, because the mean of its divisors is an integer number (9441755736).

Almost surely, 2122110112033 is an apocalyptic number.

122110112033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122110112033 is a deficient number, since it is larger than the sum of its proper divisors (28957979743).

122110112033 is a wasteful number, since it uses less digits than its factorization.

122110112033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6952904.

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

Adding to 122110112033 its reverse (330211011221), we get a palindrome (452321123254).

The spelling of 122110112033 in words is "one hundred twenty-two billion, one hundred ten million, one hundred twelve thousand, thirty-three".

Divisors: 1 7 13 91 193 1351 2509 17563 6952691 48668837 90384983 632694881 1341869363 9393085541 17444301719 122110112033