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14212023100000 = 255511101127921
BaseRepresentation
bin1100111011001111111010…
…0101101010001001100000
31212022122201022210101211221
43032303332211222021200
53330322210403200000
650120525133544424
72664533116101205
oct316637645521140
955278638711757
1014212023100000
11458a315595870
121716475945114
137c125a13507b
14371c19261cac
15199a49b5761a
hexcecfe96a260

14212023100000 has 288 divisors, whose sum is σ = 38530038857184. Its totient is φ = 5116800000000.

The previous prime is 14212023099983. The next prime is 14212023100039. The reversal of 14212023100000 is 132021241.

It is a super-2 number, since 2×142120231000002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 47 ways as a sum of consecutive naturals, for example, 111036040 + ... + 111163960.

It is an arithmetic number, because the mean of its divisors is an integer number (133784857143).

Almost surely, 214212023100000 is an apocalyptic number.

14212023100000 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 14212023100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19265019428592).

14212023100000 is an abundant number, since it is smaller than the sum of its proper divisors (24318015757184).

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

14212023100000 is a wasteful number, since it uses less digits than its factorization.

14212023100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128068 (or 128040 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 14212023100000 its reverse (132021241), we get a palindrome (14212155121241).

The spelling of 14212023100000 in words is "fourteen trillion, two hundred twelve billion, twenty-three million, one hundred thousand".