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13300122210021 = 323744988953913
BaseRepresentation
bin1100000110001010110100…
…0011110100111011100101
31202002110221101101110122200
43001202231003310323211
53220402122241210041
644141554121045113
72541621266321343
oct301425503647345
952073841343580
1013300122210021
114268606288209
1215a97a0026799
13756271c05b3a
1433da2d49a993
15180e779361b6
hexc18ad0f4ee5

13300122210021 has 24 divisors (see below), whose sum is σ = 19774455082200. Its totient is φ = 8607892156416.

The previous prime is 13300122209981. The next prime is 13300122210029. The reversal of 13300122210021 is 12001222100331.

13300122210021 is a `hidden beast` number, since 1 + 330 + 0 + 122 + 210 + 0 + 2 + 1 = 666.

13300122210021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3999080052900 + 9301042157121 = 1999770^2 + 3049761^2 .

It is not a de Polignac number, because 13300122210021 - 214 = 13300122193637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13300122209976 and 13300122210003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300122210029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44327440 + ... + 44626473.

It is an arithmetic number, because the mean of its divisors is an integer number (823935628425).

Almost surely, 213300122210021 is an apocalyptic number.

It is an amenable number.

13300122210021 is a deficient number, since it is larger than the sum of its proper divisors (6474332872179).

13300122210021 is a wasteful number, since it uses less digits than its factorization.

13300122210021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88954405 (or 88954402 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13300122210021 its reverse (12001222100331), we get a palindrome (25301344310352).

The spelling of 13300122210021 in words is "thirteen trillion, three hundred billion, one hundred twenty-two million, two hundred ten thousand, twenty-one".

Divisors: 1 3 9 37 111 333 449 1347 4041 16613 49839 149517 88953913 266861739 800585217 3291294781 9873884343 29621653029 39940306937 119820920811 359462762433 1477791356669 4433374070007 13300122210021