Search a number
-
+
12453430000 = 245411113213
BaseRepresentation
bin10111001100100100…
…00100001011110000
31012010220022210101011
423212102010023300
5201001034230000
65415424120304
7620415260044
oct134622041360
935126283334
1012453430000
115310700310
1224b6766094
1312360927bb
14861d30024
154cd48a2ba
hex2e64842f0

12453430000 has 100 divisors (see below), whose sum is σ = 32892289848. Its totient is φ = 4528480000.

The previous prime is 12453429997. The next prime is 12453430001. The reversal of 12453430000 is 3435421.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12453430001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53394 + ... + 166606.

Almost surely, 212453430000 is an apocalyptic number.

12453430000 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 12453430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16446144924).

12453430000 is an abundant number, since it is smaller than the sum of its proper divisors (20438859848).

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

12453430000 is a wasteful number, since it uses less digits than its factorization.

12453430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113252 (or 113231 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 12453430000 its reverse (3435421), we get a palindrome (12456865421).

The spelling of 12453430000 in words is "twelve billion, four hundred fifty-three million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 113213 226426 452852 566065 905704 1132130 1245343 1811408 2264260 2490686 2830325 4528520 4981372 5660650 6226715 9057040 9962744 11321300 12453430 14151625 19925488 22642600 24906860 28303250 31133575 45285200 49813720 56606500 62267150 70758125 99627440 113213000 124534300 141516250 155667875 226426000 249068600 283032500 311335750 498137200 566065000 622671500 778339375 1132130000 1245343000 1556678750 2490686000 3113357500 6226715000 12453430000