Search a number
-
+
110099412 = 2236172221
BaseRepresentation
bin1101000111111…
…11101111010100
321200011122000000
412203333233110
5211141140122
614531451300
72504554353
oct643775724
9250148000
10110099412
115716a355
1230a56b30
1319a6b6a7
141089d99a
1599ec0ac
hex68ffbd4

110099412 has 84 divisors (see below), whose sum is σ = 306009396. Its totient is φ = 34525440.

The previous prime is 110099389. The next prime is 110099419. The reversal of 110099412 is 214990011.

It can be written as a sum of positive squares in 2 ways, for example, as 80353296 + 29746116 = 8964^2 + 5454^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110099419) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 48462 + ... + 50682.

It is an arithmetic number, because the mean of its divisors is an integer number (3642969).

Almost surely, 2110099412 is an apocalyptic number.

110099412 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 110099412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153004698).

110099412 is an abundant number, since it is smaller than the sum of its proper divisors (195909984).

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

110099412 is a wasteful number, since it uses less digits than its factorization.

110099412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 110099412 is about 10492.8266925553. The cubic root of 110099412 is about 479.2862830429.

The spelling of 110099412 in words is "one hundred ten million, ninety-nine thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 729 918 972 1377 1458 1836 2221 2754 2916 4131 4442 5508 6663 8262 8884 12393 13326 16524 19989 24786 26652 37757 39978 49572 59967 75514 79956 113271 119934 151028 179901 226542 239868 339813 359802 453084 539703 679626 719604 1019439 1079406 1359252 1619109 2038878 2158812 3058317 3238218 4077756 6116634 6476436 9174951 12233268 18349902 27524853 36699804 55049706 110099412