Search a number
-
+
1232130012 = 2231719317887
BaseRepresentation
bin100100101110000…
…1100111111011100
310011212110200121220
41021130030333130
510010411130022
6322132453340
742350634531
oct11134147734
93155420556
101232130012
11582561573
122a477a250
13168363b19
14b98d4d88
157328585c
hex4970cfdc

1232130012 has 48 divisors (see below), whose sum is σ = 3204311040. Its totient is φ = 366204672.

The previous prime is 1232130001. The next prime is 1232130013. The reversal of 1232130012 is 2100312321.

It is a super-3 number, since 3×12321300123 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1232129973 and 1232130000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1232130013) 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, 155068 + ... + 162819.

It is an arithmetic number, because the mean of its divisors is an integer number (66756480).

Almost surely, 21232130012 is an apocalyptic number.

1232130012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1232130012 is an abundant number, since it is smaller than the sum of its proper divisors (1972181028).

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

1232130012 is a wasteful number, since it uses less digits than its factorization.

1232130012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317930 (or 317928 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1232130012 is about 35101.7095310186. The cubic root of 1232130012 is about 1072.0593907376.

Adding to 1232130012 its reverse (2100312321), we get a palindrome (3332442333).

The spelling of 1232130012 in words is "one billion, two hundred thirty-two million, one hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 969 1292 1938 3876 317887 635774 953661 1271548 1907322 3814644 5404079 6039853 10808158 12079706 16212237 18119559 21616316 24159412 32424474 36239118 64848948 72478236 102677501 205355002 308032503 410710004 616065006 1232130012