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113214330 = 23254013137
BaseRepresentation
bin1101011111110…
…00001101111010
321220000212212100
412233320031322
5212440324310
615122324230
72543206635
oct657701572
9256025770
10113214330
11589a7669
1231ab9676
131a5bc438
1411070c1c
159e14ec0
hex6bf837a

113214330 has 48 divisors (see below), whose sum is σ = 295185384. Its totient is φ = 30105600.

The previous prime is 113214323. The next prime is 113214337. The reversal of 113214330 is 33412311.

113214330 is a `hidden beast` number, since 11 + 321 + 4 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (113214323) and next prime (113214337).

It can be written as a sum of positive squares in 4 ways, for example, as 106069401 + 7144929 = 10299^2 + 2673^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (113214337) 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 23 ways as a sum of consecutive naturals, for example, 34522 + ... + 37658.

Almost surely, 2113214330 is an apocalyptic number.

113214330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113214330 is an abundant number, since it is smaller than the sum of its proper divisors (181971054).

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

113214330 is a wasteful number, since it uses less digits than its factorization.

113214330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3551 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 113214330 is about 10640.2222721144. Note that the first 4 decimals coincide. The cubic root of 113214330 is about 483.7642825741.

Adding to 113214330 its reverse (33412311), we get a palindrome (146626641).

It can be divided in two parts, 11321 and 4330, that added together give a palindrome (15651).

The spelling of 113214330 in words is "one hundred thirteen million, two hundred fourteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 401 802 1203 2005 2406 3137 3609 4010 6015 6274 7218 9411 12030 15685 18045 18822 28233 31370 36090 47055 56466 94110 141165 282330 1257937 2515874 3773811 6289685 7547622 11321433 12579370 18869055 22642866 37738110 56607165 113214330