Search a number
-
+
13032132030 = 2325785318439
BaseRepresentation
bin11000010001100011…
…01000110110111110
31020122020020220022200
430020301220312332
5203142211211110
65553055452330
7640643203011
oct141061506676
936566226280
1013032132030
115588331755
1226385270a6
1312c8c42238
148b8b31378
1551419c6c0
hex308c68dbe

13032132030 has 48 divisors (see below), whose sum is σ = 33889695840. Its totient is φ = 3474604224.

The previous prime is 13032131963. The next prime is 13032132059. The reversal of 13032132030 is 3023123031.

13032132030 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 13032131994 and 13032132012.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 697551 + ... + 715989.

It is an arithmetic number, because the mean of its divisors is an integer number (706035330).

Almost surely, 213032132030 is an apocalyptic number.

13032132030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13032132030 is an abundant number, since it is smaller than the sum of its proper divisors (20857563810).

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

13032132030 is a wasteful number, since it uses less digits than its factorization.

13032132030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26305 (or 26302 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13032132030 its reverse (3023123031), we get a palindrome (16055255061).

The spelling of 13032132030 in words is "thirteen billion, thirty-two million, one hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 7853 15706 18439 23559 36878 39265 47118 55317 70677 78530 92195 110634 117795 141354 165951 184390 235590 276585 331902 353385 553170 706770 829755 1659510 144801467 289602934 434404401 724007335 868808802 1303213203 1448014670 2172022005 2606426406 4344044010 6516066015 13032132030