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12114102 = 23711132017
BaseRepresentation
bin101110001101…
…100010110110
3211210110102110
4232031202312
511100122402
61111351450
7204653040
oct56154266
924713373
1012114102
116924560
124082586
132681c10
141874a90
1510e456c
hexb8d8b6

12114102 has 64 divisors (see below), whose sum is σ = 32546304. Its totient is φ = 2903040.

The previous prime is 12114101. The next prime is 12114103. The reversal of 12114102 is 20141121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12114101) and next prime (12114103).

It is a super-3 number, since 3×121141023 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4998 + ... + 7014.

It is an arithmetic number, because the mean of its divisors is an integer number (508536).

Almost surely, 212114102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12114102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16273152).

12114102 is an abundant number, since it is smaller than the sum of its proper divisors (20432202).

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

12114102 is a wasteful number, since it uses less digits than its factorization.

12114102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053.

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

The square root of 12114102 is about 3480.5318559094. The cubic root of 12114102 is about 229.6661950437. Note that the first 3 decimals are identical.

Adding to 12114102 its reverse (20141121), we get a palindrome (32255223).

The spelling of 12114102 in words is "twelve million, one hundred fourteen thousand, one hundred two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 2017 3003 4034 6006 6051 12102 14119 22187 26221 28238 42357 44374 52442 66561 78663 84714 133122 155309 157326 183547 288431 310618 367094 465927 550641 576862 865293 931854 1101282 1730586 2019017 4038034 6057051 12114102