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13012321222032 = 2431148135120413
BaseRepresentation
bin1011110101011010101011…
…0010001011110110010000
31201001222002001001110102020
42331112222302023312100
53201143213213101112
643401440003051440
72512052310303456
oct275265262136620
951058061043366
1013012321222032
114167549110220
121561a60070b80
1373509753b442
1432db2a57c9d6
1517873120948c
hexbd5aac8bd90

13012321222032 has 80 divisors (see below), whose sum is σ = 36678713418048. Its totient is φ = 3942307607040.

The previous prime is 13012321222013. The next prime is 13012321222051. The reversal of 13012321222032 is 23022212321031.

It is an interprime number because it is at equal distance from previous prime (13012321222013) and next prime (13012321222051).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13012321221993 and 13012321222011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18943 + ... + 5101470.

Almost surely, 213012321222032 is an apocalyptic number.

13012321222032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13012321222032 is an abundant number, since it is smaller than the sum of its proper divisors (23666392196016).

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

13012321222032 is a wasteful number, since it uses less digits than its factorization.

13012321222032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5125248 (or 5125242 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13012321222032 its reverse (23022212321031), we get a palindrome (36034533543063).

The spelling of 13012321222032 in words is "thirteen trillion, twelve billion, three hundred twenty-one million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 4813 9626 14439 19252 28878 38504 52943 57756 77008 105886 115512 158829 211772 231024 317658 423544 635316 847088 1270632 2541264 5120413 10240826 15361239 20481652 30722478 40963304 56324543 61444956 81926608 112649086 122889912 168973629 225298172 245779824 337947258 450596344 675894516 901192688 1351789032 2703578064 24644547769 49289095538 73933643307 98578191076 147867286614 197156382152 271090025459 295734573228 394312764304 542180050918 591469146456 813270076377 1084360101836 1182938292912 1626540152754 2168720203672 3253080305508 4337440407344 6506160611016 13012321222032