Search a number
-
+
13123224200405 = 51123139120162143
BaseRepresentation
bin1011111011110111110100…
…0111011110010011010101
31201110120100001120111020202
42332331331013132103111
53210002330343403110
643524420450510245
72523056505126104
oct276757507362325
951416301514222
1013123224200405
1141aa589a37350
12157b451295385
1374268cb35577
1433524b65603b
1517b57271b0a5
hexbef7d1de4d5

13123224200405 has 64 divisors (see below), whose sum is σ = 18070719528960. Its totient is φ = 9055829376000.

The previous prime is 13123224200369. The next prime is 13123224200417. The reversal of 13123224200405 is 50400242232131.

It is not a de Polignac number, because 13123224200405 - 222 = 13123220006101 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211146764 + ... + 211208906.

It is an arithmetic number, because the mean of its divisors is an integer number (282354992640).

Almost surely, 213123224200405 is an apocalyptic number.

It is an amenable number.

13123224200405 is a deficient number, since it is larger than the sum of its proper divisors (4947495328555).

13123224200405 is a wasteful number, since it uses less digits than its factorization.

13123224200405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63522.

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 13123224200405 its reverse (50400242232131), we get a palindrome (63523466432536).

The spelling of 13123224200405 in words is "thirteen trillion, one hundred twenty-three billion, two hundred twenty-four million, two hundred thousand, four hundred five".

Divisors: 1 5 11 23 55 115 139 253 695 1201 1265 1529 3197 6005 7645 13211 15985 27623 35167 62143 66055 138115 166939 175835 303853 310715 683573 834695 1429289 1519265 1836329 3417865 3839597 7146445 8637877 9181645 15722179 19197985 42235567 43189385 74633743 78610895 95016647 198671171 211177835 373168715 475083235 820971173 993355855 1716576089 2185382881 4104855865 8582880445 10374090277 10926914405 18882336979 51870451385 94411684895 114114993047 238604076371 570574965235 1193020381855 2624644840081 13123224200405