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13111314241432 = 2311975483280139
BaseRepresentation
bin1011111011001011011100…
…1110100101011110011000
31201102102121000212212222011
42332302313032211132120
53204303432421211212
643515130555035304
72522155406135461
oct276626716453630
951372530785864
1013111314241432
1141a5528094950
12157908873bb34
13741512538574
1433483b995d68
1517b0c6d344a7
hexbecb73a5798

13111314241432 has 64 divisors (see below), whose sum is σ = 27100116086400. Its totient is φ = 5897151421440.

The previous prime is 13111314241427. The next prime is 13111314241439. The reversal of 13111314241432 is 23414241311131.

It is a super-2 number, since 2×131113142414322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13111314241394 and 13111314241403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111314241439) 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, 46662819 + ... + 46942957.

It is an arithmetic number, because the mean of its divisors is an integer number (423439313850).

Almost surely, 213111314241432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13111314241432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13550058043200).

13111314241432 is an abundant number, since it is smaller than the sum of its proper divisors (13988801844968).

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

13111314241432 is a wasteful number, since it uses less digits than its factorization.

13111314241432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285736 (or 285732 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

Adding to 13111314241432 its reverse (23414241311131), we get a palindrome (36525555552563).

The spelling of 13111314241432 in words is "thirteen trillion, one hundred eleven billion, three hundred fourteen million, two hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 97 194 388 776 1067 2134 4268 5483 8536 10966 21932 43864 60313 120626 241252 280139 482504 531851 560278 1063702 1120556 2127404 2241112 3081529 4254808 5850361 6163058 11700722 12326116 23401444 24652232 27173483 46802888 54346966 108693932 217387864 298908313 597816626 1195633252 1536002137 2391266504 3072004274 6144008548 12288017096 16896023507 33792047014 67584094028 135168188056 148992207289 297984414578 595968829156 1191937658312 1638914280179 3277828560358 6555657120716 13111314241432