Search a number
-
+
12003302130 = 23529127108637
BaseRepresentation
bin10110010110111001…
…11101101011110010
31010222112022221000120
423023130331223302
5144040321132010
65303024231110
7603311245641
oct131334755362
933875287016
1012003302130
1150aa607606
1223aba6b496
131193a4c851
1481c23b358
154a3bc3e70
hex2cb73daf2

12003302130 has 64 divisors (see below), whose sum is σ = 30036234240. Its totient is φ = 3066142464.

The previous prime is 12003302119. The next prime is 12003302131. The reversal of 12003302130 is 3120330021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12003302131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56172 + ... + 164808.

It is an arithmetic number, because the mean of its divisors is an integer number (469316160).

Almost surely, 212003302130 is an apocalyptic number.

12003302130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12003302130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15018117120).

12003302130 is an abundant number, since it is smaller than the sum of its proper divisors (18032932110).

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

12003302130 is a wasteful number, since it uses less digits than its factorization.

12003302130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108803.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12003302130 its reverse (3120330021), we get a palindrome (15123632151).

The spelling of 12003302130 in words is "twelve billion, three million, three hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 127 145 174 254 290 381 435 635 762 870 1270 1905 3683 3810 7366 11049 18415 22098 36830 55245 108637 110490 217274 325911 543185 651822 1086370 1629555 3150473 3259110 6300946 9451419 13796899 15752365 18902838 27593798 31504730 41390697 47257095 68984495 82781394 94514190 137968990 206953485 400110071 413906970 800220142 1200330213 2000550355 2400660426 4001100710 6001651065 12003302130