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2012330213010 = 2335131265945289
BaseRepresentation
bin11101010010001000001…
…110100011111010010010
321010101011202022120102000
4131102020032203322102
5230432223013304020
64140241324134430
7265246263404655
oct35221016437222
97111152276360
102012330213010
11706473a42377
12286005397416
131179b9c448c0
146d57c2a789c
153752a729090
hex1d4883a3e92

2012330213010 has 128 divisors (see below), whose sum is σ = 5779583712000. Its totient is φ = 495292755456.

The previous prime is 2012330212993. The next prime is 2012330213017. The reversal of 2012330213010 is 103120332102.

2012330213010 is a `hidden beast` number, since 2 + 0 + 12 + 330 + 21 + 301 + 0 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2012330213017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44410446 + ... + 44455734.

It is an arithmetic number, because the mean of its divisors is an integer number (45152997750).

Almost surely, 22012330213010 is an apocalyptic number.

2012330213010 is an abundant number, since it is smaller than the sum of its proper divisors (3767253498990).

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

2012330213010 is a wasteful number, since it uses less digits than its factorization.

2012330213010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57977 (or 57971 counting only the distinct ones).

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

Adding to 2012330213010 its reverse (103120332102), we get a palindrome (2115450545112).

The spelling of 2012330213010 in words is "two trillion, twelve billion, three hundred thirty million, two hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 12659 25318 37977 45289 63295 75954 90578 113931 126590 135867 164567 189885 226445 227862 271734 329134 341793 379770 407601 452890 493701 569655 588757 679335 683586 815202 822835 987402 1139310 1177514 1222803 1358670 1481103 1645670 1708965 1766271 2038005 2445606 2468505 2943785 2962206 3417930 3532542 4076010 4443309 4937010 5298813 5887570 6114015 7405515 8831355 8886618 10597626 12228030 14811030 15896439 17662710 22216545 26494065 31792878 44433090 52988130 79482195 158964390 573313451 1146626902 1719940353 2866567255 3439880706 5159821059 5733134510 7453074863 8599701765 10319642118 14906149726 15479463177 17199403530 22359224589 25799105295 30958926354 37265374315 44718449178 51598210590 67077673767 74530748630 77397315885 111796122945 134155347534 154794631770 201233021301 223592245890 335388368835 402466042602 670776737670 1006165106505 2012330213010