Search a number
-
+
12432131000 = 235327674493
BaseRepresentation
bin10111001010000001…
…10100001110111000
31012002102020200122022
423211000310032320
5200430111143000
65413343414012
7620036240612
oct134500641670
935072220568
1012432131000
1152aa683033
1224ab5b4308
131231846043
1485d187db2
154cb67e585
hex2e50343b8

12432131000 has 64 divisors (see below), whose sum is σ = 29108177280. Its totient is φ = 4969948800.

The previous prime is 12432130969. The next prime is 12432131009. The reversal of 12432131000 is 13123421.

It is a super-2 number, since 2×124321310002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12432131000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12432131009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2764754 + ... + 2769246.

It is an arithmetic number, because the mean of its divisors is an integer number (454815270).

Almost surely, 212432131000 is an apocalyptic number.

12432131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12432131000 is an abundant number, since it is smaller than the sum of its proper divisors (16676046280).

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

12432131000 is a wasteful number, since it uses less digits than its factorization.

12432131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7281 (or 7267 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12432131000 its reverse (13123421), we get a palindrome (12445254421).

The spelling of 12432131000 in words is "twelve billion, four hundred thirty-two million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2767 4493 5534 8986 11068 13835 17972 22136 22465 27670 35944 44930 55340 69175 89860 110680 112325 138350 179720 224650 276700 345875 449300 553400 561625 691750 898600 1123250 1383500 2246500 2767000 4493000 12432131 24864262 49728524 62160655 99457048 124321310 248642620 310803275 497285240 621606550 1243213100 1554016375 2486426200 3108032750 6216065500 12432131000