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132245431030000 = 2454123710690819
BaseRepresentation
bin11110000100011011001001…
…111100001001000011110000
3122100020112120110122021022001
4132010123021330021003300
5114313202120320430000
61145132413505423344
736566263030432201
oct3604331174110360
9570215513567261
10132245431030000
1139156a772044a2
12129ba07333ab54
1358a38c9433ba2
1424929da71d5a8
1510450191cb46a
hex7846c9f090f0

132245431030000 has 100 divisors (see below), whose sum is σ = 320438278458760. Its totient is φ = 52855404192000.

The previous prime is 132245431029953. The next prime is 132245431030001. The reversal of 132245431030000 is 30134542231.

It is a happy number.

132245431030000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132245431030001) 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, 7024591 + ... + 17715409.

Almost surely, 2132245431030000 is an apocalyptic number.

132245431030000 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 132245431030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160219139229380).

132245431030000 is an abundant number, since it is smaller than the sum of its proper divisors (188192847428760).

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

132245431030000 is a wasteful number, since it uses less digits than its factorization.

132245431030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10692084 (or 10692063 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 132245431030000 its reverse (30134542231), we get a palindrome (132275565572231).

The spelling of 132245431030000 in words is "one hundred thirty-two trillion, two hundred forty-five billion, four hundred thirty-one million, thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1237 1250 2000 2474 2500 4948 5000 6185 9896 10000 12370 19792 24740 30925 49480 61850 98960 123700 154625 247400 309250 494800 618500 773125 1237000 1546250 2474000 3092500 6185000 10690819 12370000 21381638 42763276 53454095 85526552 106908190 171053104 213816380 267270475 427632760 534540950 855265520 1069081900 1336352375 2138163800 2672704750 4276327600 5345409500 6681761875 10690819000 13224543103 13363523750 21381638000 26449086206 26727047500 52898172412 53454095000 66122715515 105796344824 106908190000 132245431030 211592689648 264490862060 330613577575 528981724120 661227155150 1057963448240 1322454310300 1653067887875 2644908620600 3306135775750 5289817241200 6612271551500 8265339439375 13224543103000 16530678878750 26449086206000 33061357757500 66122715515000 132245431030000