Search a number
-
+
13130012210432 = 28137949940711
BaseRepresentation
bin1011111100010001000110…
…1101101011010100000000
31201111012212010102010110112
42333010101231223110000
53210110231111213212
643531502213250452
72523416641222565
oct277042155532400
951435763363415
1013130012210432
114202452659797
121580826633a28
13743202246950
143356d2d8c86c
1517b81d60d422
hexbf111b6b500

13130012210432 has 72 divisors (see below), whose sum is σ = 28582068291840. Its totient is φ = 5983296583680.

The previous prime is 13130012210423. The next prime is 13130012210437. The reversal of 13130012210432 is 23401221003131.

It is a junction number, because it is equal to n+sod(n) for n = 13130012210398 and 13130012210407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130012210437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24707444 + ... + 25233267.

It is an arithmetic number, because the mean of its divisors is an integer number (396973170720).

Almost surely, 213130012210432 is an apocalyptic number.

It is an amenable number.

13130012210432 is an abundant number, since it is smaller than the sum of its proper divisors (15452056081408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13130012210432 is an equidigital number, since it uses as much as digits as its factorization.

13130012210432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49940819 (or 49940805 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 13130012210432 its reverse (23401221003131), we get a palindrome (36531233213563).

The spelling of 13130012210432 in words is "thirteen trillion, one hundred thirty billion, twelve million, two hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 128 158 208 256 316 416 632 832 1027 1264 1664 2054 2528 3328 4108 5056 8216 10112 16432 20224 32864 65728 131456 262912 49940711 99881422 199762844 399525688 649229243 799051376 1298458486 1598102752 2596916972 3196205504 3945316169 5193833944 6392411008 7890632338 10387667888 12784822016 15781264676 20775335776 31562529352 41550671552 51289110197 63125058704 83101343104 102578220394 126250117408 166202686208 205156440788 252500234816 410312881576 505000469632 820625763152 1010000939264 1641251526304 3282503052608 6565006105216 13130012210432