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13124214021300 = 22352341312817867
BaseRepresentation
bin1011111011111011100000…
…0111010101110010110100
31201110122220001002121020220
42332332320013111302310
53210011342242140200
643525103010054340
72523123154353234
oct276767007256264
951418801077226
1013124214021300
1141aaa47738448
12157b68887a3b0
137427b9c1a4c5
14335302cb3cc4
1517b5ce58b4a0
hexbefb81d5cb4

13124214021300 has 72 divisors (see below), whose sum is σ = 37983854773536. Its totient is φ = 3498764703360.

The previous prime is 13124214021271. The next prime is 13124214021301. The reversal of 13124214021300 is 312041242131.

It is a super-3 number, since 3×131242140213003 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13124214021301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5385034 + ... + 7432833.

Almost surely, 213124214021300 is an apocalyptic number.

13124214021300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13124214021300 is an abundant number, since it is smaller than the sum of its proper divisors (24859640752236).

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

13124214021300 is a wasteful number, since it uses less digits than its factorization.

13124214021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12821297 (or 12821290 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13124214021300 its reverse (312041242131), we get a palindrome (13436255263431).

The spelling of 13124214021300 in words is "thirteen trillion, one hundred twenty-four billion, two hundred fourteen million, twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 3413 6826 10239 13652 17065 20478 34130 40956 51195 68260 85325 102390 170650 204780 255975 341300 511950 1023900 12817867 25635734 38453601 51271468 64089335 76907202 128178670 153814404 192268005 256357340 320446675 384536010 640893350 769072020 961340025 1281786700 1922680050 3845360100 43747380071 87494760142 131242140213 174989520284 218736900355 262484280426 437473800710 524968560852 656210701065 874947601420 1093684501775 1312421402130 2187369003550 2624842804260 3281053505325 4374738007100 6562107010650 13124214021300