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13123211303133 = 332292122466651
BaseRepresentation
bin1011111011110111110001…
…0110010001100011011101
31201110120022011022020112000
42332331330112101203131
53210002314043200013
643524415310232513
72523056260401531
oct276757426214335
951416264266460
1013123211303133
1141aa582728448
12157b448ab5739
1374268a26b049
14335249a59bc1
1517b57151e973
hexbef7c5918dd

13123211303133 has 16 divisors (see below), whose sum is σ = 19526693198400. Its totient is φ = 8710603131600.

The previous prime is 13123211303129. The next prime is 13123211303141. The reversal of 13123211303133 is 33130311232131.

13123211303133 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 321 + 1 + 303 + 1 + 33 = 666.

It is not a de Polignac number, because 13123211303133 - 22 = 13123211303129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13123211303097 and 13123211303106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123211303113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1061227143 + ... + 1061239508.

It is an arithmetic number, because the mean of its divisors is an integer number (1220418324900).

Almost surely, 213123211303133 is an apocalyptic number.

It is an amenable number.

13123211303133 is a deficient number, since it is larger than the sum of its proper divisors (6403481895267).

13123211303133 is a wasteful number, since it uses less digits than its factorization.

13123211303133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122466889 (or 2122466883 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13123211303133 its reverse (33130311232131), we get a palindrome (46253522535264).

The spelling of 13123211303133 in words is "thirteen trillion, one hundred twenty-three billion, two hundred eleven million, three hundred three thousand, one hundred thirty-three".

Divisors: 1 3 9 27 229 687 2061 6183 2122466651 6367399953 19102199859 57306599577 486044863079 1458134589237 4374403767711 13123211303133