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332301331132012 = 221131893433797359
BaseRepresentation
bin100101110001110011110111…
…0110011001110111001101100
31121120120200211010011201220001
41023203213232303032321230
5322023411111232211022
63134425042444234044
7126664656523062244
oct11343475663167154
91546520733151801
10332301331132012
1196977226389860
123132a28353b924
1311355b5b9222b8
145c0b6824bab24
152863dc0ab3b27
hex12e39eeccee6c

332301331132012 has 96 divisors (see below), whose sum is σ = 662409435340800. Its totient is φ = 144488924236800.

The previous prime is 332301331131983. The next prime is 332301331132013. The reversal of 332301331132012 is 210231133103233.

It is a happy number.

It is a super-2 number, since 2×3323013311320122 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332301331132013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416353789 + ... + 417151147.

It is an arithmetic number, because the mean of its divisors is an integer number (6900098284800).

Almost surely, 2332301331132012 is an apocalyptic number.

It is an amenable number.

332301331132012 is a deficient number, since it is larger than the sum of its proper divisors (330108104208788).

332301331132012 is a wasteful number, since it uses less digits than its factorization.

332301331132012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800927 (or 800925 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 332301331132012 its reverse (210231133103233), we get a palindrome (542532464235245).

The spelling of 332301331132012 in words is "three hundred thirty-two trillion, three hundred one billion, three hundred thirty-one million, one hundred thirty-two thousand, twelve".

Divisors: 1 2 4 11 22 31 44 62 89 124 178 341 356 682 979 1364 1958 2759 3433 3916 5518 6866 11036 13732 30349 37763 60698 75526 106423 121396 151052 212846 305537 425692 611074 797359 1170653 1222148 1594718 2341306 3189436 3360907 4682612 6721814 8770949 9471647 13443628 17541898 18943294 24718129 35083796 37886588 49436258 70964951 98872516 104188117 141929902 208376234 271899419 283859804 416752468 543798838 780614461 1087597676 1561228922 2199913481 2737333447 3122457844 4399826962 5474666894 8799653924 10949333788 24199048291 30110667917 48398096582 60221335834 84857336857 96796193164 120442671668 169714673714 243622676783 339429347428 487245353566 933430705427 974490707132 1866861410854 2679849444613 3733722821708 5359698889226 7552302980273 10719397778452 15104605960546 30209211921092 83075332783003 166150665566006 332301331132012