Search a number
-
+
11121012002100 = 2235271121322714831
BaseRepresentation
bin1010000111010100111111…
…1110000100110100110100
31110101011021110002022201010
42201311033332010310310
52424201313033031400
635352531122432220
72225316021215220
oct241651776046464
943334243068633
1011121012002100
1135a8438395200
1212b73b0502670
1362892618b520
142a638d071780
1514443a412450
hexa1d4ff84d34

11121012002100 has 864 divisors, whose sum is σ = 43724409458688. Its totient is φ = 2123561088000.

The previous prime is 11121012002083. The next prime is 11121012002129. The reversal of 11121012002100 is 120021012111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 749841685 + ... + 749856515.

It is an arithmetic number, because the mean of its divisors is an integer number (50606955392).

Almost surely, 211121012002100 is an apocalyptic number.

11121012002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121012002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21862204729344).

11121012002100 is an abundant number, since it is smaller than the sum of its proper divisors (32603397456588).

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

11121012002100 is a wasteful number, since it uses less digits than its factorization.

11121012002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15117 (or 15099 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11121012002100 its reverse (120021012111), we get a palindrome (11241033014211).

The spelling of 11121012002100 in words is "eleven trillion, one hundred twenty-one billion, twelve million, two thousand, one hundred".