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30121312 = 2513611187
BaseRepresentation
bin111001011100…
…1110101100000
32002200022200011
41302321311200
530202340222
62553334304
7514012144
oct162716540
962608604
1030121312
1116003651
12a107394
136318280
144001224
15299ec77
hex1cb9d60

30121312 has 48 divisors (see below), whose sum is σ = 64964592. Its totient is φ = 13662720.

The previous prime is 30121307. The next prime is 30121319. The reversal of 30121312 is 21312103.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 30121292 and 30121301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30121319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24783 + ... + 25969.

It is an arithmetic number, because the mean of its divisors is an integer number (1353429).

Almost surely, 230121312 is an apocalyptic number.

30121312 is a gapful number since it is divisible by the number (32) 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 30121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32482296).

30121312 is an abundant number, since it is smaller than the sum of its proper divisors (34843280).

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

30121312 is a wasteful number, since it uses less digits than its factorization.

30121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 30121312 is about 5488.2886221481. The cubic root of 30121312 is about 311.1415146402.

Adding to 30121312 its reverse (21312103), we get a palindrome (51433415).

The spelling of 30121312 in words is "thirty million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 61 104 122 208 244 416 488 793 976 1187 1586 1952 2374 3172 4748 6344 9496 12688 15431 18992 25376 30862 37984 61724 72407 123448 144814 246896 289628 493792 579256 941291 1158512 1882582 2317024 3765164 7530328 15060656 30121312