Search a number
-
+
12301011320 = 23513233101527
BaseRepresentation
bin10110111010011001…
…01000100101111000
31011202021112010020212
423131030220211320
5200143024330240
65352341210252
7613554604523
oct133514504570
934667463225
1012301011320
115242666964
122473700988
131210627a30
148499b5bba
154bedce165
hex2dd328978

12301011320 has 64 divisors (see below), whose sum is σ = 29934515520. Its totient is φ = 4522374144.

The previous prime is 12301011319. The next prime is 12301011329. The reversal of 12301011320 is 2311010321.

12301011320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12301011295 and 12301011304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301011329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70397 + ... + 171923.

It is an arithmetic number, because the mean of its divisors is an integer number (467726805).

Almost surely, 212301011320 is an apocalyptic number.

12301011320 is a gapful number since it is divisible by the number (10) 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 12301011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14967257760).

12301011320 is an abundant number, since it is smaller than the sum of its proper divisors (17633504200).

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

12301011320 is a wasteful number, since it uses less digits than its factorization.

12301011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101784 (or 101780 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 12301011320 its reverse (2311010321), we get a palindrome (14612021641).

Subtracting from 12301011320 its reverse (2311010321), we obtain a palindrome (9990000999).

The spelling of 12301011320 in words is "twelve billion, three hundred one million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 233 260 466 520 932 1165 1864 2330 3029 4660 6058 9320 12116 15145 24232 30290 60580 101527 121160 203054 406108 507635 812216 1015270 1319851 2030540 2639702 4061080 5279404 6599255 10558808 13198510 23655791 26397020 47311582 52794040 94623164 118278955 189246328 236557910 307525283 473115820 615050566 946231640 1230101132 1537626415 2460202264 3075252830 6150505660 12301011320