Search a number
-
+
12102013030200 = 2335220170021717
BaseRepresentation
bin1011000000011011100000…
…1100000000111100111000
31120211221102002120222100020
42300012320030000330320
53041234410313431300
641423331003210440
72356225110322512
oct260067014007470
946757362528306
1012102013030200
113946486947325
12143554b816a20
1369a2a4289552
142dba5212abb2
1515ec03c438a0
hexb01b8300f38

12102013030200 has 48 divisors (see below), whose sum is σ = 37516240395480. Its totient is φ = 3227203474560.

The previous prime is 12102013030181. The next prime is 12102013030223. The reversal of 12102013030200 is 203031020121.

It is a super-2 number, since 2×121020130302002 (a number of 27 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 12102013030200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10085010259 + ... + 10085011458.

Almost surely, 212102013030200 is an apocalyptic number.

12102013030200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102013030200 is an abundant number, since it is smaller than the sum of its proper divisors (25414227365280).

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

12102013030200 is a wasteful number, since it uses less digits than its factorization.

12102013030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20170021736 (or 20170021727 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12102013030200 its reverse (203031020121), we get a palindrome (12305044050321).

The spelling of 12102013030200 in words is "twelve trillion, one hundred two billion, thirteen million, thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 20170021717 40340043434 60510065151 80680086868 100850108585 121020130302 161360173736 201700217170 242040260604 302550325755 403400434340 484080521208 504250542925 605100651510 806800868680 1008501085850 1210201303020 1512751628775 2017002171700 2420402606040 3025503257550 4034004343400 6051006515100 12102013030200