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12131112011011 = 7431011313046081
BaseRepresentation
bin1011000010000111111010…
…0111110100010100000011
31120221201112001110100202021
42300201332213310110003
53042224004133323021
641444542251302311
72361305156506330
oct260417647642403
946851461410667
1012131112011011
1139578595222a4
12143b110a4a997
1369cc60a8c0a6
142dd212a31987
151608586ddc41
hexb087e9f4503

12131112011011 has 32 divisors (see below), whose sum is σ = 14436381712896. Its totient is φ = 9978958080000.

The previous prime is 12131112010939. The next prime is 12131112011041. The reversal of 12131112011011 is 11011021113121.

It is not a de Polignac number, because 12131112011011 - 213 = 12131112002819 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12131112011041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2459491 + ... + 5505571.

It is an arithmetic number, because the mean of its divisors is an integer number (451136928528).

Almost surely, 212131112011011 is an apocalyptic number.

12131112011011 is a deficient number, since it is larger than the sum of its proper divisors (2305269701885).

12131112011011 is a wasteful number, since it uses less digits than its factorization.

12131112011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046363.

The product of its (nonzero) digits is 12, while the sum is 16.

Adding to 12131112011011 its reverse (11011021113121), we get a palindrome (23142133124132).

The spelling of 12131112011011 in words is "twelve trillion, one hundred thirty-one billion, one hundred twelve million, eleven thousand, eleven".

Divisors: 1 7 43 101 131 301 707 917 4343 5633 13231 30401 39431 92617 568933 3046081 3982531 21322567 130981483 307654181 399036611 916870381 2153579267 2793256277 13229129783 17158574273 40302697711 92603908481 120110019911 282118883977 1733016001573 12131112011011