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13121302300200 = 2332527289612389
BaseRepresentation
bin1011111011110000101010…
…0100000000011000101000
31201110101101010011211210200
42332330022210000120220
53204434411342101300
643523502033512200
72522661050214363
oct276741244003050
951411333154720
1013121302300200
1141a9793093276
12157abb5712660
13742444904703
143351082cb0da
1517b4adb34200
hexbef0a900628

13121302300200 has 72 divisors (see below), whose sum is σ = 44065706897550. Its totient is φ = 3499013946240.

The previous prime is 13121302300159. The next prime is 13121302300231. The reversal of 13121302300200 is 200320312131.

13121302300200 is a `hidden beast` number, since 1 + 31 + 2 + 130 + 2 + 300 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 9516719066724 + 3604583233476 = 3084918^2 + 1898574^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3644804395 + ... + 3644807994.

Almost surely, 213121302300200 is an apocalyptic number.

13121302300200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121302300200 is an abundant number, since it is smaller than the sum of its proper divisors (30944404597350).

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

13121302300200 is a wasteful number, since it uses less digits than its factorization.

13121302300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7289612411 (or 7289612399 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13121302300200 its reverse (200320312131), we get a palindrome (13321622612331).

The spelling of 13121302300200 in words is "thirteen trillion, one hundred twenty-one billion, three hundred two million, three hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 7289612389 14579224778 21868837167 29158449556 36448061945 43737674334 58316899112 65606511501 72896123890 87475348668 109344185835 131213023002 145792247780 174950697336 182240309725 218688371670 262426046004 291584495560 328032557505 364480619450 437376743340 524852092008 546720929175 656065115010 728961238900 874753486680 1093441858350 1312130230020 1457922477800 1640162787525 2186883716700 2624260460040 3280325575050 4373767433400 6560651150100 13121302300200