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2002201112310 = 235723257418189
BaseRepresentation
bin11101001000101100011…
…111000110111011110110
321002102000211121221102020
4131020230133012323312
5230301001441043220
64131444250254010
7264440260436100
oct35105437067366
97072024557366
102002201112310
11702146370073
12284059127306
13116a645950a9
146cc9ad3a570
1537136369040
hex1d22c7c6ef6

2002201112310 has 96 divisors (see below), whose sum is σ = 5591548234080. Its totient is φ = 457504363008.

The previous prime is 2002201112273. The next prime is 2002201112363. The reversal of 2002201112310 is 132111022002.

It is a super-2 number, since 2×20022011123102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2002201112310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4578696 + ... + 4996884.

It is an arithmetic number, because the mean of its divisors is an integer number (58245294105).

Almost surely, 22002201112310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002201112310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795774117040).

2002201112310 is an abundant number, since it is smaller than the sum of its proper divisors (3589347121770).

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

2002201112310 is a wasteful number, since it uses less digits than its factorization.

2002201112310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421470 (or 421463 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2002201112310 its reverse (132111022002), we get a palindrome (2134312134312).

The spelling of 2002201112310 in words is "two trillion, two billion, two hundred one million, one hundred twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 3257 6514 9771 16285 19542 22799 32570 45598 48855 68397 97710 113995 136794 159593 227990 319186 341985 418189 478779 683970 797965 836378 957558 1254567 1595930 2090945 2393895 2509134 2927323 4181890 4787790 5854646 6272835 8781969 12545670 14636615 17563938 20491261 29273230 40982522 43909845 61473783 87819690 102456305 122947566 204912610 307368915 614737830 1362041573 2724083146 4086124719 6810207865 8172249438 9534291011 13620415730 19068582022 20430623595 28602873033 40861247190 47671455055 57205746066 66740037077 95342910110 133480074154 143014365165 200220111231 286028730330 333700185385 400440222462 667400370770 1001100556155 2002201112310