Search a number
-
+
12002020030 = 25711132149619
BaseRepresentation
bin10110010110110000…
…00100101010111110
31010222102220210022101
423023120010222332
5144040004120110
65302540535314
7603264326020
oct131330045276
933872823271
1012002020030
1150a9911320
1223ab55153a
1311936c1100
1481bdc6010
154a3a1e13a
hex2cb604abe

12002020030 has 192 divisors, whose sum is σ = 29408832000. Its totient is φ = 3424412160.

The previous prime is 12002020013. The next prime is 12002020039. The reversal of 12002020030 is 3002020021.

12002020030 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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 12002019989 and 12002020016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002020039) 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 95 ways as a sum of consecutive naturals, for example, 19389061 + ... + 19389679.

It is an arithmetic number, because the mean of its divisors is an integer number (153171000).

Almost surely, 212002020030 is an apocalyptic number.

12002020030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12002020030 is an abundant number, since it is smaller than the sum of its proper divisors (17406811970).

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

12002020030 is a wasteful number, since it uses less digits than its factorization.

12002020030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 12002020030 its reverse (3002020021), we get a palindrome (15004040051).

Subtracting from 12002020030 its reverse (3002020021), we obtain a palindrome (9000000009).

The spelling of 12002020030 in words is "twelve billion, two million, twenty thousand, thirty".