Search a number
-
+
30122120 = 2357179601
BaseRepresentation
bin111001011101…
…0000010001000
32002200100210002
41302322002020
530202401440
62553342132
7514014410
oct162720210
962610702
1030122120
1116004216
12a107948
136318752
144001640
1529a0115
hex1cba088

30122120 has 64 divisors (see below), whose sum is σ = 78019200. Its totient is φ = 10252800.

The previous prime is 30122117. The next prime is 30122123. The reversal of 30122120 is 2122103.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30122117) and next prime (30122123).

It is a super-2 number, since 2×301221202 = 1814684226588800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30122123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49820 + ... + 50420.

It is an arithmetic number, because the mean of its divisors is an integer number (1219050).

Almost surely, 230122120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39009600).

30122120 is an abundant number, since it is smaller than the sum of its proper divisors (47897080).

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

30122120 is a wasteful number, since it uses less digits than its factorization.

30122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 30122120 is about 5488.3622329434. The cubic root of 30122120 is about 311.1442967246.

Adding to 30122120 its reverse (2122103), we get a palindrome (32244223).

The spelling of 30122120 in words is "thirty million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 179 280 358 601 716 895 1202 1253 1432 1790 2404 2506 3005 3580 4207 4808 5012 6010 6265 7160 8414 10024 12020 12530 16828 21035 24040 25060 33656 42070 50120 84140 107579 168280 215158 430316 537895 753053 860632 1075790 1506106 2151580 3012212 3765265 4303160 6024424 7530530 15061060 30122120