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12110141131000 = 23531121719309857
BaseRepresentation
bin1011000000111001110010…
…1010010000100011111000
31120212201101120001021111121
42300032130222100203320
53041403032112143000
641431153320435024
72356633405123423
oct260163452204370
946781346037447
1012110141131000
113949977a59800
121437039918a74
1369ac9b201853
142dc1c381c9ba
1516002c5e4b1a
hexb039ca908f8

12110141131000 has 384 divisors, whose sum is σ = 34716242433600. Its totient is φ = 3926495232000.

The previous prime is 12110141130991. The next prime is 12110141131021. The reversal of 12110141131000 is 13114101121.

It is a super-2 number, since 2×121101411310002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 38928072 + ... + 39237928.

Almost surely, 212110141131000 is an apocalyptic number.

12110141131000 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 12110141131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17358121216800).

12110141131000 is an abundant number, since it is smaller than the sum of its proper divisors (22606101302600).

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

12110141131000 is a wasteful number, since it uses less digits than its factorization.

12110141131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309936 (or 309911 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 12110141131000 its reverse (13114101121), we get a palindrome (12123255232121).

The spelling of 12110141131000 in words is "twelve trillion, one hundred ten billion, one hundred forty-one million, one hundred thirty-one thousand".