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13122222301000 = 235319690643279
BaseRepresentation
bin1011111011110100000101…
…1001100001111101001000
31201110110202020022201122101
42332331001121201331020
53204443302402113000
643524133220403144
72523022621124431
oct276750131417510
951413666281571
1013122222301000
1141aa11543650a
12157b2118464b4
137425603b1997
14335194572488
1517b5147b1e6a
hexbef41661f48

13122222301000 has 64 divisors (see below), whose sum is σ = 32322105504000. Its totient is φ = 4972631601600.

The previous prime is 13122222300937. The next prime is 13122222301049. The reversal of 13122222301000 is 10322222131.

It is a super-3 number, since 3×131222223010003 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 345302640 + ... + 345340639.

It is an arithmetic number, because the mean of its divisors is an integer number (505032898500).

Almost surely, 213122222301000 is an apocalyptic number.

13122222301000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13122222301000 is an abundant number, since it is smaller than the sum of its proper divisors (19199883203000).

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

13122222301000 is a wasteful number, since it uses less digits than its factorization.

13122222301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690643319 (or 690643305 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 13122222301000 its reverse (10322222131), we get a palindrome (13132544523131).

The spelling of 13122222301000 in words is "thirteen trillion, one hundred twenty-two billion, two hundred twenty-two million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2375 3800 4750 9500 19000 690643279 1381286558 2762573116 3453216395 5525146232 6906432790 13122222301 13812865580 17266081975 26244444602 27625731160 34532163950 52488889204 65611111505 69064327900 86330409875 104977778408 131222223010 138128655800 172660819750 262444446020 328055557525 345321639500 524888892040 656111115050 690643279000 1312222230100 1640277787625 2624444460200 3280555575250 6561111150500 13122222301000