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2002303203030 = 234513271170141
BaseRepresentation
bin11101001000110010100…
…100100011011011010110
321002102021221201200120000
4131020302210203123112
5230301204104444110
64131502334352130
7264442640256504
oct35106244433326
97072257650500
102002303203030
11702198a5a369
1228408735b646
13116a7c78b3c0
146ccaa713674
15371402d31c0
hex1d2329236d6

2002303203030 has 160 divisors (see below), whose sum is σ = 5800343871168. Its totient is φ = 492685804800.

The previous prime is 2002303202959. The next prime is 2002303203097. The reversal of 2002303203030 is 303023032002.

2002303203030 is a `hidden beast` number, since 20 + 0 + 23 + 0 + 320 + 303 + 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 a junction number, because it is equal to n+sod(n) for n = 2002303202994 and 2002303203012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28511760 + ... + 28581900.

Almost surely, 22002303203030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002303203030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900171935584).

2002303203030 is an abundant number, since it is smaller than the sum of its proper divisors (3798040668138).

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

2002303203030 is a wasteful number, since it uses less digits than its factorization.

2002303203030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72884 (or 72875 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 2002303203030 its reverse (303023032002), we get a palindrome (2305326235032).

The spelling of 2002303203030 in words is "two trillion, two billion, three hundred three million, two hundred three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1170 1755 2106 2711 3510 5265 5422 8133 10530 13555 16266 24399 27110 35243 40665 48798 70141 70486 73197 81330 105729 121995 140282 146394 176215 210423 211458 219591 243990 317187 350705 352430 365985 420846 439182 528645 631269 634374 701410 731970 911833 951561 1052115 1057290 1097955 1262538 1585935 1823666 1893807 1903122 2104230 2195910 2735499 2854683 3156345 3171870 3787614 4559165 4757805 5470998 5681421 5709366 6312690 8206497 9118330 9469035 9515610 11362842 13677495 14273415 16412994 18938070 24619491 27354990 28407105 28546830 41032485 49238982 56814210 73858473 82064970 123097455 147716946 190152251 246194910 369292365 380304502 570456753 738584730 950761255 1140913506 1711370259 1901522510 2471979263 2852283765 3422740518 4943958526 5134110777 5704567530 7415937789 8556851295 10268221554 12359896315 14831875578 15402332331 17113702590 22247813367 24719792630 25670553885 30804664662 37079688945 44495626734 51341107770 66743440101 74159377890 77011661655 111239066835 133486880202 154023323310 200230320303 222478133670 333717200505 400460640606 667434401010 1001151601515 2002303203030