Search a number
-
+
12030012300 = 2235240100041
BaseRepresentation
bin10110011010000101…
…10110101110001100
31011001101120221111010
423031002312232030
5144114140343200
65305420525220
7604054263105
oct131502665614
934041527433
1012030012300
1151136a0329
1223b89b0810
131199442297
148219d13ac
154a61ed150
hex2cd0b6b8c

12030012300 has 36 divisors (see below), whose sum is σ = 34806836456. Its totient is φ = 3208003200.

The previous prime is 12030012287. The next prime is 12030012301. The reversal of 12030012300 is 321003021.

It is a happy number.

12030012300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (12030012301) 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 11 ways as a sum of consecutive naturals, for example, 20049721 + ... + 20050320.

Almost surely, 212030012300 is an apocalyptic number.

12030012300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12030012300 is an abundant number, since it is smaller than the sum of its proper divisors (22776824156).

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

12030012300 is a wasteful number, since it uses less digits than its factorization.

12030012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40100058 (or 40100051 counting only the distinct ones).

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

Adding to 12030012300 its reverse (321003021), we get a palindrome (12351015321).

The spelling of 12030012300 in words is "twelve billion, thirty million, twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 40100041 80200082 120300123 160400164 200500205 240600246 401000410 481200492 601500615 802000820 1002501025 1203001230 2005002050 2406002460 3007503075 4010004100 6015006150 12030012300