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123102331121 = 711194119910313
BaseRepresentation
bin111001010100101111…
…0001000000011110001
3102202202012202100202002
41302221132020003301
54004103144043441
6132315154103345
711615406356360
oct1625136100361
9382665670662
10123102331121
1148231069440
121ba3687ab55
13b7bab4a463
145d5b3897d7
15330750eb9b
hex1ca97880f1

123102331121 has 64 divisors (see below), whose sum is σ = 166344192000. Its totient is φ = 88204723200.

The previous prime is 123102331103. The next prime is 123102331123. The reversal of 123102331121 is 121133201321.

It is a happy number.

It is not a de Polignac number, because 123102331121 - 214 = 123102314737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123102331093 and 123102331102.

It is not an unprimeable number, because it can be changed into a prime (123102331123) 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 63 ways as a sum of consecutive naturals, for example, 11931461 + ... + 11941773.

It is an arithmetic number, because the mean of its divisors is an integer number (2599128000).

Almost surely, 2123102331121 is an apocalyptic number.

123102331121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123102331121 is a deficient number, since it is larger than the sum of its proper divisors (43241860879).

123102331121 is a wasteful number, since it uses less digits than its factorization.

123102331121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10590.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 123102331121 its reverse (121133201321), we get a palindrome (244235532442).

The spelling of 123102331121 in words is "one hundred twenty-three billion, one hundred two million, three hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 7 11 19 41 77 133 199 209 287 451 779 1393 1463 2189 3157 3781 5453 8159 8569 10313 15323 26467 41591 57113 59983 72191 89749 113443 155021 195947 291137 422833 628243 794101 1085147 1371629 1705231 2052287 2155417 2959831 4651163 8033827 11936617 14366009 15087919 22575157 32558141 38993453 56236789 84143767 88372097 158026099 272954171 428927983 589006369 618604679 925581437 1598731573 3002495881 6479070059 11191121011 17586047303 123102331121