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2030012123220 = 2232589322139341
BaseRepresentation
bin11101100010100110001…
…001101100100001010100
321012001211000221200021100
4131202212021230201110
5231224431100420340
64152324044550100
7266443410225414
oct35424611544124
97161730850240
102030012123220
11712a17a15204
1228951ab52330
131195772b2573
1470378772644
1537c12bed830
hex1d8a626c854

2030012123220 has 144 divisors (see below), whose sum is σ = 6228982665360. Its totient is φ = 535074355200.

The previous prime is 2030012123207. The next prime is 2030012123221. The reversal of 2030012123220 is 223212100302.

2030012123220 is a `hidden beast` number, since 2 + 0 + 300 + 121 + 23 + 220 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 282841021584 + 1747171101636 = 531828^2 + 1321806^2 .

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 = 2030012123193 and 2030012123202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2030012123221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51580750 + ... + 51620090.

It is an arithmetic number, because the mean of its divisors is an integer number (43256824065).

Almost surely, 22030012123220 is an apocalyptic number.

2030012123220 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 2030012123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114491332680).

2030012123220 is an abundant number, since it is smaller than the sum of its proper divisors (4198970542140).

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

2030012123220 is a wasteful number, since it uses less digits than its factorization.

2030012123220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42666 (or 42661 counting only the distinct ones).

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

Adding to 2030012123220 its reverse (223212100302), we get a palindrome (2253224223522).

The spelling of 2030012123220 in words is "two trillion, thirty billion, twelve million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 534 801 890 1068 1335 1602 1780 2670 3204 3221 4005 5340 6442 8010 9663 12884 16020 16105 19326 28989 32210 38652 39341 48315 57978 64420 78682 96630 115956 118023 144945 157364 193260 196705 236046 286669 289890 354069 393410 472092 573338 579780 590115 708138 786820 860007 1146676 1180230 1416276 1433345 1720014 1770345 2360460 2580021 2866690 3440028 3501349 3540690 4300035 5160042 5733380 7002698 7081380 8600070 10320084 10504047 12900105 14005396 17200140 17506745 21008094 25800210 31512141 35013490 42016188 51600420 52520235 63024282 70026980 105040470 126048564 126717361 157560705 210080940 253434722 315121410 380152083 506869444 630242820 633586805 760304166 1140456249 1267173610 1520608332 1900760415 2280912498 2534347220 3801520830 4561824996 5702281245 7603041660 11277845129 11404562490 22555690258 22809124980 33833535387 45111380516 56389225645 67667070774 101500606161 112778451290 135334141548 169167676935 203001212322 225556902580 338335353870 406002424644 507503030805 676670707740 1015006061610 2030012123220