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123288882321 = 3113839754639
BaseRepresentation
bin111001011010010010…
…1110000110010010001
3102210020012210010212210
41302310211300302101
54004443423213241
6132345500342333
711623133131413
oct1626445606221
9383205703783
10123288882321
11483173a6090
121ba892449a9
13b81a6a6197
145d7806a9b3
153318aae316
hex1cb4970c91

123288882321 has 16 divisors (see below), whose sum is σ = 179797524480. Its totient is φ = 74525434320.

The previous prime is 123288882263. The next prime is 123288882329.

123288882321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 123288882321 - 27 = 123288882193 is a prime.

It is a super-2 number, since 2×1232888823212 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123288882329) 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, 4864681 + ... + 4889958.

It is an arithmetic number, because the mean of its divisors is an integer number (11237345280).

Almost surely, 2123288882321 is an apocalyptic number.

123288882321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123288882321 is a deficient number, since it is larger than the sum of its proper divisors (56508642159).

123288882321 is a wasteful number, since it uses less digits than its factorization.

123288882321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9755036.

The product of its digits is 589824, while the sum is 48.

The spelling of 123288882321 in words is "one hundred twenty-three billion, two hundred eighty-eight million, eight hundred eighty-two thousand, three hundred twenty-one".

Divisors: 1 3 11 33 383 1149 4213 12639 9754639 29263917 107301029 321903087 3736026737 11208080211 41096294107 123288882321