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113111136 = 2532292467
BaseRepresentation
bin1101011110111…
…11000001100000
321212211122022100
412233133001200
5212424024021
615120210400
72542300035
oct657370140
9255748270
10113111136
1158937086
1231a69a00
131a584488
141104538c
159de4626
hex6bdf060

113111136 has 108 divisors (see below), whose sum is σ = 333847332. Its totient is φ = 36325632.

The previous prime is 113111099. The next prime is 113111137. The reversal of 113111136 is 631111311.

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 (113111137) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 241975 + ... + 242441.

It is an arithmetic number, because the mean of its divisors is an integer number (3091179).

Almost surely, 2113111136 is an apocalyptic number.

113111136 is a gapful number since it is divisible by the number (16) 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 113111136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166923666).

113111136 is an abundant number, since it is smaller than the sum of its proper divisors (220736196).

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

113111136 is a wasteful number, since it uses less digits than its factorization.

113111136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 501 counting only the distinct ones).

The product of its digits is 54, while the sum is 18.

The square root of 113111136 is about 10635.3719257955. The cubic root of 113111136 is about 483.6172554066.

Adding to 113111136 its reverse (631111311), we get a palindrome (744222447).

The spelling of 113111136 in words is "one hundred thirteen million, one hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 467 522 696 841 928 934 1044 1392 1401 1682 1868 2088 2523 2784 2802 3364 3736 4176 4203 5046 5604 6728 7472 7569 8352 8406 10092 11208 13456 13543 14944 15138 16812 20184 22416 26912 27086 30276 33624 40368 40629 44832 54172 60552 67248 80736 81258 108344 121104 121887 134496 162516 216688 242208 243774 325032 392747 433376 487548 650064 785494 975096 1178241 1300128 1570988 1950192 2356482 3141976 3534723 3900384 4712964 6283952 7069446 9425928 12567904 14138892 18851856 28277784 37703712 56555568 113111136