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113223132 = 223211714027
BaseRepresentation
bin1101011111110…
…10010111011100
321220001022221100
412233322113130
5212441120012
615122433100
72543244411
oct657722734
9256038840
10113223132
1158a03240
1231b02790
131a5c3449
1411074108
159e178dc
hex6bfa5dc

113223132 has 72 divisors (see below), whose sum is σ = 316697472. Its totient is φ = 33818400.

The previous prime is 113223119. The next prime is 113223133. The reversal of 113223132 is 231322311.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113223133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26103 + ... + 30129.

It is an arithmetic number, because the mean of its divisors is an integer number (4398576).

Almost surely, 2113223132 is an apocalyptic number.

113223132 is a gapful number since it is divisible by the number (12) 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 113223132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158348736).

113223132 is an abundant number, since it is smaller than the sum of its proper divisors (203474340).

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

113223132 is a wasteful number, since it uses less digits than its factorization.

113223132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4119 (or 4114 counting only the distinct ones).

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

The square root of 113223132 is about 10640.6358832543. The cubic root of 113223132 is about 483.7768192170.

Adding to 113223132 its reverse (231322311), we get a palindrome (344545443).

The spelling of 113223132 in words is "one hundred thirteen million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 71 99 132 142 198 213 284 396 426 639 781 852 1278 1562 2343 2556 3124 4027 4686 7029 8054 9372 12081 14058 16108 24162 28116 36243 44297 48324 72486 88594 132891 144972 177188 265782 285917 398673 531564 571834 797346 857751 1143668 1594692 1715502 2573253 3145087 3431004 5146506 6290174 9435261 10293012 12580348 18870522 28305783 37741044 56611566 113223132