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12233130113000 = 235317719595889
BaseRepresentation
bin1011001000000011111101…
…0111111111011111101000
31121022110211212111220111002
42302000333113333133220
53100411422302104000
642003453345254132
72401546240202156
oct262007727773750
947273755456432
1012233130113000
113997050039285
121456a42634348
136a976b713404
1430412db003d6
15163329bb48d5
hexb203f5ff7e8

12233130113000 has 64 divisors (see below), whose sum is σ = 30309378886800. Its totient is φ = 4605413683200.

The previous prime is 12233130112997. The next prime is 12233130113003. The reversal of 12233130113000 is 31103133221.

It is an interprime number because it is at equal distance from previous prime (12233130112997) and next prime (12233130113003).

It can be written as a sum of positive squares in 8 ways, for example, as 22117043524 + 12211013069476 = 148718^2 + 3494426^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12233130113003) 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, 359780945 + ... + 359814944.

Almost surely, 212233130113000 is an apocalyptic number.

12233130113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12233130113000 is an abundant number, since it is smaller than the sum of its proper divisors (18076248773800).

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

12233130113000 is a wasteful number, since it uses less digits than its factorization.

12233130113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719595927 (or 719595913 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 12233130113000 its reverse (31103133221), we get a palindrome (12264233246221).

The spelling of 12233130113000 in words is "twelve trillion, two hundred thirty-three billion, one hundred thirty million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 719595889 1439191778 2878383556 3597979445 5756767112 7195958890 12233130113 14391917780 17989897225 24466260226 28783835560 35979794450 48932520452 61165650565 71959588900 89949486125 97865040904 122331301130 143919177800 179898972250 244662602260 305828252825 359797944500 489325204520 611656505650 719595889000 1223313011300 1529141264125 2446626022600 3058282528250 6116565056500 12233130113000