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132224131242 = 2347548563
BaseRepresentation
bin111101100100100101…
…1000010000010101010
3110122021221000211010000
41323021023002002222
54131243334144432
6140424250003430
712360431400000
oct1731113020252
9418257024100
10132224131242
1151092090925
1221761716576
13c612904b18
146584a28a70
15368d24a57c
hex1ec92c20aa

132224131242 has 120 divisors (see below), whose sum is σ = 345664177056. Its totient is φ = 37777545288.

The previous prime is 132224131223. The next prime is 132224131331. The reversal of 132224131242 is 242131422231.

132224131242 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 2 + 413 + 1 + 242 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2698453 + ... + 2747015.

Almost surely, 2132224131242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132224131242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172832088528).

132224131242 is an abundant number, since it is smaller than the sum of its proper divisors (213440045814).

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

132224131242 is an frugal number, since it uses more digits than its factorization.

132224131242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48612 (or 48575 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 132224131242 its reverse (242131422231), we get a palindrome (374355553473).

The spelling of 132224131242 in words is "one hundred thirty-two billion, two hundred twenty-four million, one hundred thirty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 343 378 441 567 686 882 1029 1134 1323 2058 2401 2646 3087 3969 4802 6174 7203 7938 9261 14406 16807 18522 21609 27783 33614 43218 48563 50421 55566 64827 97126 100842 129654 145689 151263 194481 291378 302526 339941 388962 437067 453789 679882 874134 907578 1019823 1311201 1361367 2039646 2379587 2622402 2722734 3059469 3933603 4759174 6118938 7138761 7867206 9178407 14277522 16657109 18356814 21416283 27535221 33314218 42832566 49971327 55070442 64248849 99942654 116599763 128497698 149913981 192746547 233199526 299827962 349799289 385493094 449741943 699598578 816198341 899483886 1049397867 1349225829 1632396682 2098795734 2448595023 2698451658 3148193601 4897190046 6296387202 7345785069 9444580803 14691570138 18889161606 22037355207 44074710414 66112065621 132224131242