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2411330002020 = 2232547450763241
BaseRepresentation
bin100011000101101110011…
…101111101110001100100
322112112001201210221212100
4203011232131331301210
5304001400440031040
65043425534252100
7336133001555652
oct43055635756144
98475051727770
102411330002020
1184a703a17415
1232b3b9657030
131465062a0a04
14849cd6a5dd2
1542ace3edb30
hex2316e77dc64

2411330002020 has 144 divisors (see below), whose sum is σ = 7471768082688. Its totient is φ = 629190443520.

The previous prime is 2411330001967. The next prime is 2411330002021. The reversal of 2411330002020 is 202000331142.

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

It is a junction number, because it is equal to n+sod(n) for n = 2411330001984 and 2411330002002.

It is not an unprimeable number, because it can be changed into a prime (2411330002021) 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 47 ways as a sum of consecutive naturals, for example, 38097600 + ... + 38160840.

It is an arithmetic number, because the mean of its divisors is an integer number (51887278352).

Almost surely, 22411330002020 is an apocalyptic number.

2411330002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2411330002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735884041344).

2411330002020 is an abundant number, since it is smaller than the sum of its proper divisors (5060438080668).

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

2411330002020 is a wasteful number, since it uses less digits than its factorization.

2411330002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67810 (or 67805 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2411330002020 its reverse (202000331142), we get a palindrome (2613330333162).

The spelling of 2411330002020 in words is "two trillion, four hundred eleven billion, three hundred thirty million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4230 4507 8460 9014 13521 18028 22535 27042 40563 45070 54084 63241 67605 81126 90140 126482 135210 162252 189723 202815 211829 252964 270420 316205 379446 405630 423658 569169 632410 635487 758892 811260 847316 948615 1059145 1138338 1264820 1270974 1897230 1906461 2118290 2276676 2541948 2845845 2972327 3177435 3794460 3812922 4236580 5691690 5944654 6354870 7625844 8916981 9532305 11383380 11889308 12709740 14861635 17833962 19064610 26750943 29723270 35667924 38129220 44584905 53501886 59446540 89169810 107003772 133754715 178339620 267509430 285027187 535018860 570054374 855081561 1140108748 1425135935 1710163122 2565244683 2850271870 3420326244 4275407805 5130489366 5700543740 8550815610 10260978732 12826223415 13396277789 17101631220 25652446830 26792555578 40188833367 51304893660 53585111156 66981388945 80377666734 120566500101 133962777890 160755333468 200944166835 241133000202 267925555780 401888333670 482266000404 602832500505 803776667340 1205665001010 2411330002020