Search a number
-
+
10002100112012 = 22131137991383287
BaseRepresentation
bin1001000110001100101110…
…0111111100101010001100
31022102012011112221222220202
42101203023213330222030
52302333300112041022
633134522405433032
72051425236115661
oct221431347745214
938365145858822
1010002100112012
113206959839288
12115658310b778
1357726a285358
14268166007a68
1512529e4cd592
hex918cb9fca8c

10002100112012 has 24 divisors (see below), whose sum is σ = 17638581945600. Its totient is φ = 4962510859280.

The previous prime is 10002100112009. The next prime is 10002100112047. The reversal of 10002100112012 is 21021100120001.

10002100112012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10002100111984 and 10002100112002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6539033 + ... + 7922319.

It is an arithmetic number, because the mean of its divisors is an integer number (734940914400).

Almost surely, 210002100112012 is an apocalyptic number.

It is an amenable number.

10002100112012 is a deficient number, since it is larger than the sum of its proper divisors (7636481833588).

10002100112012 is a wasteful number, since it uses less digits than its factorization.

10002100112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397221 (or 1397219 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10002100112012 its reverse (21021100120001), we get a palindrome (31023200232013).

The spelling of 10002100112012 in words is "ten trillion, two billion, one hundred million, one hundred twelve thousand, twelve".

Divisors: 1 2 4 131 262 524 13799 27598 55196 1383287 1807669 2766574 3615338 5533148 7230676 181210597 362421194 724842388 19087977313 38175954626 76351909252 2500525028003 5001050056006 10002100112012