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113227128 = 23327317247
BaseRepresentation
bin1101011111110…
…11010101111000
321220001112102100
412233323111320
5212441232003
615122503400
72543262150
oct657732570
9256045370
10113227128
1158a06243
1231b04b60
131a5c5201
1411075760
159e18ba3
hex6bfb578

113227128 has 96 divisors (see below), whose sum is σ = 361820160. Its totient is φ = 31302720.

The previous prime is 113227111. The next prime is 113227139. The reversal of 113227128 is 821722311.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12001 + ... + 19247.

It is an arithmetic number, because the mean of its divisors is an integer number (3768960).

Almost surely, 2113227128 is an apocalyptic number.

113227128 is a gapful number since it is divisible by the number (18) 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 113227128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180910080).

113227128 is an abundant number, since it is smaller than the sum of its proper divisors (248593032).

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

113227128 is a wasteful number, since it uses less digits than its factorization.

113227128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7297 (or 7290 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 113227128 is about 10640.8236523307. The cubic root of 113227128 is about 483.7825104846.

Adding to 113227128 its reverse (821722311), we get a palindrome (934949439).

The spelling of 113227128 in words is "one hundred thirteen million, two hundred twenty-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3906 5208 7247 7812 14494 15624 21741 28988 43482 50729 57976 65223 86964 101458 130446 152187 173928 202916 224657 260892 304374 405832 449314 456561 521784 608748 673971 898628 913122 1217496 1347942 1572599 1797256 1826244 2021913 2695884 3145198 3652488 4043826 4717797 5391768 6290396 8087652 9435594 12580792 14153391 16175304 18871188 28306782 37742376 56613564 113227128