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130310033303112 = 233133738287294829
BaseRepresentation
bin11101101000010000101011…
…001111101110011001001000
3122002101111222021100220220220
4131220100223033232121020
5114034444422011144422
61141051334115350040
736306406050252525
oct3550205317563110
9562344867326826
10130310033303112
11385801a1695673
1212746b5a5b2320
13579324cc61830
142427079a5214c
15100e9e29e2e5c
hex76842b3ee648

130310033303112 has 128 divisors (see below), whose sum is σ = 360327357196800. Its totient is φ = 39010584296448.

The previous prime is 130310033303111. The next prime is 130310033303123. The reversal of 130310033303112 is 211303330013031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (130310033303111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 441837714 + ... + 442132542.

It is an arithmetic number, because the mean of its divisors is an integer number (2815057478100).

Almost surely, 2130310033303112 is an apocalyptic number.

130310033303112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130310033303112 is an abundant number, since it is smaller than the sum of its proper divisors (230017323893688).

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

130310033303112 is a wasteful number, since it uses less digits than its factorization.

130310033303112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333175 (or 333171 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 130310033303112 its reverse (211303330013031), we get a palindrome (341613363316143).

The spelling of 130310033303112 in words is "one hundred thirty trillion, three hundred ten billion, thirty-three million, three hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 296 312 444 481 888 962 1443 1924 2886 3848 5772 11544 38287 76574 114861 153148 229722 294829 306296 459444 497731 589658 884487 918888 995462 1179316 1416619 1493193 1768974 1990924 2358632 2833238 2986386 3537948 3832777 3981848 4249857 5666476 5972772 7075896 7665554 8499714 10908673 11332952 11498331 11945544 15331108 16999428 18416047 21817346 22996662 30662216 32726019 33998856 36832094 43634692 45993324 55248141 65452038 73664188 87269384 91986648 110496282 130904076 141812749 147328376 220992564 261808152 283625498 425438247 441985128 567250996 850876494 1134501992 1701752988 3403505976 11288117923 22576235846 33864353769 45152471692 67728707538 90304943384 135457415076 146745532999 270914830152 293491065998 417660363151 440236598997 586982131996 835320726302 880473197994 1173964263992 1252981089453 1670641452604 1760946395988 2505962178906 3341282905208 3521892791976 5011924357812 5429584720963 10023848715624 10859169441926 16288754162889 21718338883852 32577508325778 43436677767704 65155016651556 130310033303112