Search a number
-
+
109319112 = 23337174253
BaseRepresentation
bin1101000010000…
…01001111001000
321121200222122000
412201001033020
5210441202422
614503031000
72465124420
oct641011710
9247628560
10109319112
1156787081
123073b460
1319857486
1410739480
1598e5cac
hex68413c8

109319112 has 128 divisors (see below), whose sum is σ = 367545600. Its totient is φ = 29389824.

The previous prime is 109319101. The next prime is 109319117. The reversal of 109319112 is 211913901.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (109319117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23578 + ... + 27830.

It is an arithmetic number, because the mean of its divisors is an integer number (2871450).

Almost surely, 2109319112 is an apocalyptic number.

109319112 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 109319112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183772800).

109319112 is an abundant number, since it is smaller than the sum of its proper divisors (258226488).

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

109319112 is a wasteful number, since it uses less digits than its factorization.

109319112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The square root of 109319112 is about 10455.5780328014. The cubic root of 109319112 is about 478.1513266549.

The spelling of 109319112 in words is "one hundred nine million, three hundred nineteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 504 612 714 756 918 952 1071 1224 1428 1512 1836 2142 2856 3213 3672 4253 4284 6426 8506 8568 12759 12852 17012 25518 25704 29771 34024 38277 51036 59542 72301 76554 89313 102072 114831 119084 144602 153108 178626 216903 229662 238168 267939 289204 306216 357252 433806 459324 506107 535878 578408 650709 714504 803817 867612 918648 1012214 1071756 1301418 1518321 1607634 1735224 1952127 2024428 2143512 2602836 3036642 3215268 3904254 4048856 4554963 5205672 6073284 6430536 7808508 9109926 12146568 13664889 15617016 18219852 27329778 36439704 54659556 109319112