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2002211113023 = 3311199109131051
BaseRepresentation
bin11101001000101101000…
…101010000100000111111
321002102001112110000211000
4131020231011100200333
5230301012021104043
64131445244501343
7264440441440512
oct35105505204077
97072045400730
102002211113023
11702150a80820
1228406054a853
13116a66687084
146cc9c3c0d79
15371371922d3
hex1d22d15083f

2002211113023 has 64 divisors (see below), whose sum is σ = 3255243264000. Its totient is φ = 1206217980000.

The previous prime is 2002211112973. The next prime is 2002211113027. The reversal of 2002211113023 is 3203111122002.

It is not a de Polignac number, because 2002211113023 - 28 = 2002211112767 is a prime.

It is a super-2 number, since 2×20022111130232 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002211112987 and 2002211113005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002211113027) 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, 64465848 + ... + 64496898.

It is an arithmetic number, because the mean of its divisors is an integer number (50863176000).

Almost surely, 22002211113023 is an apocalyptic number.

2002211113023 is a deficient number, since it is larger than the sum of its proper divisors (1253032150977).

2002211113023 is a wasteful number, since it uses less digits than its factorization.

2002211113023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32361 (or 32355 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2002211113023 its reverse (3203111122002), we get a palindrome (5205322235025).

The spelling of 2002211113023 in words is "two trillion, two billion, two hundred eleven million, one hundred thirteen thousand, twenty-three".

Divisors: 1 3 9 11 27 33 99 199 297 597 1091 1791 2189 3273 5373 6567 9819 12001 19701 29457 31051 36003 59103 93153 108009 217109 279459 324027 341561 651327 838377 1024683 1953981 2388199 3074049 5861943 6179149 7164597 9222147 18537447 21493791 33876641 55612341 64481373 67970639 101629923 166837023 203911917 304889769 372643051 611735751 914669307 1117929153 1835207253 3353787459 6741451559 10061362377 20224354677 60673064031 74155967149 182019192093 222467901447 667403704341 2002211113023