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30121320 = 23351032437
BaseRepresentation
bin111001011100…
…1110101101000
32002200022200110
41302321311220
530202340240
62553334320
7514012155
oct162716550
962608613
1030121320
1116003659
12a1073a0
136318288
14400122c
15299ec80
hex1cb9d68

30121320 has 64 divisors (see below), whose sum is σ = 91278720. Its totient is φ = 7951104.

The previous prime is 30121319. The next prime is 30121321. The reversal of 30121320 is 2312103.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30121319) and next prime (30121321).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 30121296 and 30121305.

It is not an unprimeable number, because it can be changed into a prime (30121321) 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, 11142 + ... + 13578.

It is an arithmetic number, because the mean of its divisors is an integer number (1426230).

Almost surely, 230121320 is an apocalyptic number.

30121320 is a gapful number since it is divisible by the number (30) 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 30121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45639360).

30121320 is an abundant number, since it is smaller than the sum of its proper divisors (61157400).

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

30121320 is a wasteful number, since it uses less digits than its factorization.

30121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2554 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 30121320 is about 5488.2893509727. The cubic root of 30121320 is about 311.1415421858.

Adding to 30121320 its reverse (2312103), we get a palindrome (32433423).

The spelling of 30121320 in words is "thirty million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1545 2060 2437 2472 3090 4120 4874 6180 7311 9748 12185 12360 14622 19496 24370 29244 36555 48740 58488 73110 97480 146220 251011 292440 502022 753033 1004044 1255055 1506066 2008088 2510110 3012132 3765165 5020220 6024264 7530330 10040440 15060660 30121320