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13124232114 = 237975096329
BaseRepresentation
bin11000011100100001…
…11110001110110010
31020212122120001212220
430032100332032302
5203334300411424
610010145501510
7643142063250
oct141620761662
936778501786
1013124232114
115625317924
122663341896
13131204b026
148c70675d0
1551c2e1579
hex30e43e3b2

13124232114 has 64 divisors (see below), whose sum is σ = 30371846400. Its totient is φ = 3703246848.

The previous prime is 13124232109. The next prime is 13124232119. The reversal of 13124232114 is 41123242131.

13124232114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13124232109) and next prime (13124232119).

It is not an unprimeable number, because it can be changed into a prime (13124232119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2070502 + ... + 2076830.

It is an arithmetic number, because the mean of its divisors is an integer number (474560100).

Almost surely, 213124232114 is an apocalyptic number.

13124232114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13124232114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15185923200).

13124232114 is an abundant number, since it is smaller than the sum of its proper divisors (17247614286).

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

13124232114 is a wasteful number, since it uses less digits than its factorization.

13124232114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6947.

The product of its digits is 1152, while the sum is 24.

Adding to 13124232114 its reverse (41123242131), we get a palindrome (54247474245).

The spelling of 13124232114 in words is "thirteen billion, one hundred twenty-four million, two hundred thirty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 97 194 291 509 582 679 1018 1358 1527 2037 3054 3563 4074 6329 7126 10689 12658 18987 21378 37974 44303 49373 88606 98746 132909 148119 265818 296238 345611 613913 691222 1036833 1227826 1841739 2073666 3221461 3683478 4297391 6442922 8594782 9664383 12892173 19328766 22550227 25784346 45100454 67650681 135301362 312481717 624963434 937445151 1874890302 2187372019 4374744038 6562116057 13124232114