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13131412 = 227317563
BaseRepresentation
bin110010000101…
…111010010100
3220201010220121
4302011322110
511330201122
61145241324
7216421000
oct62057224
926633817
1013131412
117459908
124493244
132949c88
141a5b700
151245bc7
hexc85e94

13131412 has 48 divisors (see below), whose sum is σ = 28425600. Its totient is φ = 5287296.

The previous prime is 13131407. The next prime is 13131421. The reversal of 13131412 is 21413131.

It is a super-2 number, since 2×131314122 = 344867962227488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23043 + ... + 23605.

It is an arithmetic number, because the mean of its divisors is an integer number (592200).

Almost surely, 213131412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13131412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14212800).

13131412 is an abundant number, since it is smaller than the sum of its proper divisors (15294188).

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

13131412 is a wasteful number, since it uses less digits than its factorization.

13131412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 589 counting only the distinct ones).

The product of its digits is 72, while the sum is 16.

The square root of 13131412 is about 3623.7290185664. The cubic root of 13131412 is about 235.9231052750.

Adding to 13131412 its reverse (21413131), we get a palindrome (34544543).

The spelling of 13131412 in words is "thirteen million, one hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 343 476 563 686 833 1126 1372 1666 2252 3332 3941 5831 7882 9571 11662 15764 19142 23324 27587 38284 55174 66997 110348 133994 193109 267988 386218 468979 772436 937958 1875916 3282853 6565706 13131412