Search a number
-
+
12102121011100 = 2252648118673231
BaseRepresentation
bin1011000000011011111010…
…0111111011011110011100
31120211221200121202222021211
42300012332213323132130
53041240120434323400
641423345421434204
72356230561204601
oct260067647733634
946757617688254
1012102121011100
113946531899a3a
12143557ba0b964
1369a2c0765883
142dba625d86a8
1515ec0d472dba
hexb01be9fb79c

12102121011100 has 36 divisors (see below), whose sum is σ = 26265656091808. Its totient is φ = 4840101216000.

The previous prime is 12102121011059. The next prime is 12102121011103. The reversal of 12102121011100 is 111012120121.

It is a happy number.

It is a super-2 number, since 2×121021210111002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102121011103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8688516 + ... + 9984715.

Almost surely, 212102121011100 is an apocalyptic number.

12102121011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102121011100 is an abundant number, since it is smaller than the sum of its proper divisors (14163535080708).

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

12102121011100 is a wasteful number, since it uses less digits than its factorization.

12102121011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18679726 (or 18679719 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12102121011100 its reverse (111012120121), we get a palindrome (12213133131221).

The spelling of 12102121011100 in words is "twelve trillion, one hundred two billion, one hundred twenty-one million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 6481 12962 25924 32405 64810 129620 162025 324050 648100 18673231 37346462 74692924 93366155 186732310 373464620 466830775 933661550 1867323100 121021210111 242042420222 484084840444 605106050555 1210212101110 2420424202220 3025530252775 6051060505550 12102121011100