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12114024021 = 3211213781197
BaseRepresentation
bin10110100100000110…
…10101011001010101
31011021020200011220100
423102003111121111
5144302142232041
65322021324313
7606124335201
oct132203253125
934236604810
1012114024021
115157061600
122420b66699
1311b0978668
1482cc1db01
154ad7956b6
hex2d20d5655

12114024021 has 36 divisors (see below), whose sum is σ = 19374005196. Its totient is φ = 7288152960.

The previous prime is 12114024011. The next prime is 12114024029. The reversal of 12114024021 is 12042041121.

12114024021 is a `hidden beast` number, since 121 + 140 + 2 + 402 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7265687121 + 4848336900 = 85239^2 + 69630^2 .

It is not a de Polignac number, because 12114024021 - 210 = 12114022997 is a prime.

It is a super-3 number, since 3×121140240213 (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12114023985 and 12114024003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114024029) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 108595 + ... + 189791.

It is an arithmetic number, because the mean of its divisors is an integer number (538166811).

Almost surely, 212114024021 is an apocalyptic number.

12114024021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12114024021 is a deficient number, since it is larger than the sum of its proper divisors (7259981175).

12114024021 is a wasteful number, since it uses less digits than its factorization.

12114024021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81362 (or 81348 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12114024021 its reverse (12042041121), we get a palindrome (24156065142).

It can be divided in two parts, 121140 and 24021, that added together give a square (145161 = 3812).

The spelling of 12114024021 in words is "twelve billion, one hundred fourteen million, twenty-four thousand, twenty-one".

Divisors: 1 3 9 11 33 99 121 137 363 411 1089 1233 1507 4521 13563 16577 49731 81197 149193 243591 730773 893167 2679501 8038503 9824837 11123989 29474511 33371967 88423533 100115901 122363879 367091637 1101274911 1346002669 4038008007 12114024021