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12002111131 = 532415631669
BaseRepresentation
bin10110010110110000…
…11010111010011011
31010222110002102021111
423023120122322123
5144040020024011
65302542521151
7603265155433
oct131330327233
933873072244
1012002111131
1150a997380a
1223ab5961b7
13119372370a
1481c00b2c3
154a3a3b121
hex2cb61ae9b

12002111131 has 16 divisors (see below), whose sum is σ = 12308487840. Its totient is φ = 11698951680.

The previous prime is 12002111123. The next prime is 12002111161. The reversal of 12002111131 is 13111120021.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12002111131 - 23 = 12002111123 is a prime.

It is a super-2 number, since 2×120021111312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12002111161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7190365 + ... + 7192033.

It is an arithmetic number, because the mean of its divisors is an integer number (769280490).

Almost surely, 212002111131 is an apocalyptic number.

12002111131 is a deficient number, since it is larger than the sum of its proper divisors (306376709).

12002111131 is a wasteful number, since it uses less digits than its factorization.

12002111131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 12002111131 its reverse (13111120021), we get a palindrome (25113231152).

The spelling of 12002111131 in words is "twelve billion, two million, one hundred eleven thousand, one hundred thirty-one".

Divisors: 1 53 241 563 1669 12773 29839 88457 135683 402229 939647 7191199 21318137 49801291 226454927 12002111131