Search a number
-
+
12432102420 = 22351910905353
BaseRepresentation
bin10111001010000001…
…01101010000010100
31012002102012020102210
423211000231100110
5200430104234140
65413343033420
7620036061363
oct134500552024
935072166383
1012432102420
1152aa663611
1224ab59b870
13123183602a
1485d17b7da
154cb675d80
hex2e502d414

12432102420 has 48 divisors (see below), whose sum is σ = 36641989440. Its totient is φ = 3140741376.

The previous prime is 12432102373. The next prime is 12432102437. The reversal of 12432102420 is 2420123421.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5451537 + ... + 5453816.

It is an arithmetic number, because the mean of its divisors is an integer number (763374780).

Almost surely, 212432102420 is an apocalyptic number.

12432102420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12432102420 is an abundant number, since it is smaller than the sum of its proper divisors (24209887020).

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

12432102420 is a wasteful number, since it uses less digits than its factorization.

12432102420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10905384 (or 10905382 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12432102420 its reverse (2420123421), we get a palindrome (14852225841).

The spelling of 12432102420 in words is "twelve billion, four hundred thirty-two million, one hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 10905353 21810706 32716059 43621412 54526765 65432118 109053530 130864236 163580295 207201707 218107060 327160590 414403414 621605121 654321180 828806828 1036008535 1243210242 2072017070 2486420484 3108025605 4144034140 6216051210 12432102420