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13000114320 = 2435431259701
BaseRepresentation
bin11000001101101111…
…00000000010010000
31020120000000020021120
430012313200002100
5203111012124240
65545553322240
7640104101634
oct140667400220
936500006246
1013000114320
115571253336
122629866380
1312c2411a4b
148b4798dc4
15511475ad0
hex306de0090

13000114320 has 80 divisors (see below), whose sum is σ = 41237604672. Its totient is φ = 3386073600.

The previous prime is 13000114301. The next prime is 13000114321. The reversal of 13000114320 is 2341100031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13000114320.

It is not an unprimeable number, because it can be changed into a prime (13000114321) 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, 619531 + ... + 640170.

Almost surely, 213000114320 is an apocalyptic number.

13000114320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13000114320 is an abundant number, since it is smaller than the sum of its proper divisors (28237490352).

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

13000114320 is a wasteful number, since it uses less digits than its factorization.

13000114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259760 (or 1259754 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13000114320 its reverse (2341100031), we get a palindrome (15341214351).

The spelling of 13000114320 in words is "thirteen billion, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 10320 1259701 2519402 3779103 5038804 6298505 7558206 10077608 12597010 15116412 18895515 20155216 25194020 30232824 37791030 50388040 54167143 60465648 75582060 100776080 108334286 151164120 162501429 216668572 270835715 302328240 325002858 433337144 541671430 650005716 812507145 866674288 1083342860 1300011432 1625014290 2166685720 2600022864 3250028580 4333371440 6500057160 13000114320