Search a number
-
+
12132431320 = 235797015477
BaseRepresentation
bin10110100110010011…
…00011010111011000
31011022112022100222011
423103021203113120
5144321400300240
65323520035304
7606436651612
oct132311432730
934275270864
1012132431320
115166494249
122427162b34
1311b4721b59
14831451db2
154b01ce6ea
hex2d32635d8

12132431320 has 64 divisors (see below), whose sum is σ = 27688003200. Its totient is φ = 4783833600.

The previous prime is 12132431309. The next prime is 12132431321. The reversal of 12132431320 is 2313423121.

12132431320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12132431291 and 12132431300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132431321) 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, 2212422 + ... + 2217898.

It is an arithmetic number, because the mean of its divisors is an integer number (432625050).

Almost surely, 212132431320 is an apocalyptic number.

12132431320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12132431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13844001600).

12132431320 is an abundant number, since it is smaller than the sum of its proper divisors (15555571880).

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

12132431320 is a wasteful number, since it uses less digits than its factorization.

12132431320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6268 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12132431320 its reverse (2313423121), we get a palindrome (14445854441).

The spelling of 12132431320 in words is "twelve billion, one hundred thirty-two million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 701 790 1402 1580 2804 3160 3505 5477 5608 7010 10954 14020 21908 27385 28040 43816 54770 55379 109540 110758 219080 221516 276895 432683 443032 553790 865366 1107580 1730732 2163415 2215160 3461464 3839377 4326830 7678754 8653660 15357508 17307320 19196885 30715016 38393770 76787540 153575080 303310783 606621566 1213243132 1516553915 2426486264 3033107830 6066215660 12132431320