Search a number
-
+
13123000102023 = 3274434679100493
BaseRepresentation
bin1011111011110110111111…
…0000100110110010000111
31201110112202102220010001200
42332331233300212302013
53210001401011231043
643524342323353543
72523051114253050
oct276755760466207
951415672803050
1013123000102023
1141aa484494979
12157b3aa2228b3
13742655591586
1433522999d727
1517b55cc017d3
hexbef6fc26c87

13123000102023 has 48 divisors (see below), whose sum is σ = 21717123217920. Its totient is φ = 7480256277312.

The previous prime is 13123000101983. The next prime is 13123000102049. The reversal of 13123000102023 is 32020100032131.

13123000102023 is a `hidden beast` number, since 1 + 312 + 300 + 0 + 10 + 20 + 23 = 666.

It is not a de Polignac number, because 13123000102023 - 28 = 13123000101767 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13123000101987 and 13123000102005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123000102073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130535965 + ... + 130636457.

It is an arithmetic number, because the mean of its divisors is an integer number (452440067040).

Almost surely, 213123000102023 is an apocalyptic number.

13123000102023 is a deficient number, since it is larger than the sum of its proper divisors (8594123115897).

13123000102023 is a wasteful number, since it uses less digits than its factorization.

13123000102023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105628 (or 105625 counting only the distinct ones).

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

Adding to 13123000102023 its reverse (32020100032131), we get a palindrome (45143100134154).

The spelling of 13123000102023 in words is "thirteen trillion, one hundred twenty-three billion, one hundred two thousand, twenty-three".

Divisors: 1 3 7 9 21 63 443 1329 3101 3987 4679 9303 14037 27909 32753 42111 98259 100493 294777 301479 703451 904437 2072797 2110353 6218391 6331059 14509579 18655173 43528737 44518399 130586211 133555197 311628793 400665591 470206747 934886379 1410620241 2804659137 3291447229 4231860723 9874341687 29623025061 208301588921 624904766763 1458111122447 1874714300289 4374333367341 13123000102023