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113121344 = 267298707
BaseRepresentation
bin1101011111000…
…01100001000000
321212212011022102
412233201201000
5212424340334
615120325532
72542341560
oct657414100
9255764272
10113121344
1158943816
1231a738a8
131a58900b
1411048da0
159de767e
hex6be1840

113121344 has 56 divisors (see below), whose sum is σ = 265419840. Its totient is φ = 46803456.

The previous prime is 113121343. The next prime is 113121361. The reversal of 113121344 is 443121311.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113121341) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8639 + ... + 17345.

It is an arithmetic number, because the mean of its divisors is an integer number (4739640).

Almost surely, 2113121344 is an apocalyptic number.

113121344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132709920).

113121344 is an abundant number, since it is smaller than the sum of its proper divisors (152298496).

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

113121344 is an equidigital number, since it uses as much as digits as its factorization.

113121344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8755 (or 8745 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 113121344 is about 10635.8518229618. The cubic root of 113121344 is about 483.6318033890.

Adding to 113121344 its reverse (443121311), we get a palindrome (556242655).

The spelling of 113121344 in words is "one hundred thirteen million, one hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1624 1856 3248 6496 8707 12992 17414 34828 60949 69656 121898 139312 243796 252503 278624 487592 505006 557248 975184 1010012 1767521 1950368 2020024 3535042 3900736 4040048 7070084 8080096 14140168 16160192 28280336 56560672 113121344