Search a number
-
+
11221002000131 = 721167544157107
BaseRepresentation
bin1010001101001001011111…
…0101101001011100000011
31110201201100220220111211112
42203102113311221130003
52432321103003001011
635510505051233535
72235455614165400
oct243222765513403
943651326814745
1011221002000131
113636889109710
121312856a488ab
1363519c8a8531
142ab156a4b2a7
15146d3d82358b
hexa3497d69703

11221002000131 has 48 divisors (see below), whose sum is σ = 14455080104832. Its totient is φ = 8611402060800.

The previous prime is 11221002000119. The next prime is 11221002000139. The reversal of 11221002000131 is 13100020012211.

11221002000131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-11221002000131 is a prime.

It is a super-2 number, since 2×112210020001312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11221002000139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196462280 + ... + 196519386.

It is an arithmetic number, because the mean of its divisors is an integer number (301147502184).

Almost surely, 211221002000131 is an apocalyptic number.

11221002000131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11221002000131 is a deficient number, since it is larger than the sum of its proper divisors (3234078104701).

11221002000131 is a wasteful number, since it uses less digits than its factorization.

11221002000131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62640 (or 62633 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11221002000131 its reverse (13100020012211), we get a palindrome (24321022012342).

The spelling of 11221002000131 in words is "eleven trillion, two hundred twenty-one billion, two million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 7 11 49 67 77 469 539 737 3283 5159 5441 36113 38087 57107 59851 266609 364547 399749 418957 628177 2551829 2798243 2932699 3826169 4010017 4397239 17862803 26783183 28070119 30780673 42087859 187482281 196490833 294615013 310719187 2062305091 2175034309 3417911057 15225240163 20818185529 23925377399 145727298703 167477641793 229000040819 1020091090921 1603000285733 11221002000131