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12404122133 = 134218532657
BaseRepresentation
bin10111000110101011…
…11110001000010101
31012000110112200200212
423203111332020111
5200400423402013
65410503215205
7616246204244
oct134325761025
935013480625
1012404122133
115295892607
1224a2147505
131228aba450
1485957695b
154c8e9a6a8
hex2e357e215

12404122133 has 16 divisors (see below), whose sum is σ = 13410758256. Its totient is φ = 11405076480.

The previous prime is 12404122123. The next prime is 12404122141. The reversal of 12404122133 is 33122140421.

It can be written as a sum of positive squares in 8 ways, for example, as 5736093169 + 6668028964 = 75737^2 + 81658^2 .

It is a cyclic number.

It is not a de Polignac number, because 12404122133 - 212 = 12404118037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12404122099 and 12404122108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12404122103) 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, 4667141 + ... + 4669797.

It is an arithmetic number, because the mean of its divisors is an integer number (838172391).

Almost surely, 212404122133 is an apocalyptic number.

12404122133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12404122133 is a deficient number, since it is larger than the sum of its proper divisors (1006636123).

12404122133 is a wasteful number, since it uses less digits than its factorization.

12404122133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3944.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 12404122133 its reverse (33122140421), we get a palindrome (45526262554).

The spelling of 12404122133 in words is "twelve billion, four hundred four million, one hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 13 421 853 2657 5473 11089 34541 359113 1118597 2266421 4668469 14541761 29463473 954163241 12404122133