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12100432414 = 2717151336703
BaseRepresentation
bin10110100010011110…
…11111001000011110
31011020022002122201111
423101033133020132
5144240202314124
65320414132234
7605600656420
oct132117371036
934208078644
1012100432414
11514a418a74
1224184b107a
1311aabca0a5
1482b0c2810
154ac4ad494
hex2d13df21e

12100432414 has 32 divisors (see below), whose sum is σ = 22109331456. Its totient is φ = 4848508800.

The previous prime is 12100432391. The next prime is 12100432417. The reversal of 12100432414 is 41423400121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100432417) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 132414 + ... + 204289.

It is an arithmetic number, because the mean of its divisors is an integer number (690916608).

Almost surely, 212100432414 is an apocalyptic number.

12100432414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12100432414 is a deficient number, since it is larger than the sum of its proper divisors (10008899042).

12100432414 is a wasteful number, since it uses less digits than its factorization.

12100432414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336880.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12100432414 its reverse (41423400121), we get a palindrome (53523832535).

The spelling of 12100432414 in words is "twelve billion, one hundred million, four hundred thirty-two thousand, four hundred fourteen".

Divisors: 1 2 7 14 17 34 119 151 238 302 1057 2114 2567 5134 17969 35938 336703 673406 2356921 4713842 5723951 11447902 40067657 50842153 80135314 101684306 355895071 711790142 864316601 1728633202 6050216207 12100432414