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331221223000020 = 223521793514972077
BaseRepresentation
bin100101101001111100111001…
…1010101101100011111010100
31121102202102212112011120012110
41023103321303111230133110
5321403212031042000040
63132240532414351020
7126523641451330053
oct11323716325543724
91542672775146173
10331221223000020
11965a014a511701
1231194a854bb470
13112a8047cc1932
145bb129abcc39a
152845c5661e980
hex12d3e7356c7d4

331221223000020 has 96 divisors (see below), whose sum is σ = 927884312208000. Its totient is φ = 88281387938304.

The previous prime is 331221222999971. The next prime is 331221223000043. The reversal of 331221223000020 is 20000322122133.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4595344222 + ... + 4595416298.

It is an arithmetic number, because the mean of its divisors is an integer number (9665461585500).

Almost surely, 2331221223000020 is an apocalyptic number.

331221223000020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331221223000020 is an abundant number, since it is smaller than the sum of its proper divisors (596663089207980).

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

331221223000020 is a wasteful number, since it uses less digits than its factorization.

331221223000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109417 (or 109415 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 331221223000020 its reverse (20000322122133), we get a palindrome (351221545122153).

The spelling of 331221223000020 in words is "three hundred thirty-one trillion, two hundred twenty-one billion, two hundred twenty-three million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2179 4358 6537 8716 10895 13074 21790 26148 32685 35149 43580 65370 70298 72077 105447 130740 140596 144154 175745 210894 216231 288308 351490 360385 421788 432462 527235 702980 720770 864924 1054470 1081155 1441540 2108940 2162310 4324620 76589671 153179342 157055783 229769013 306358684 314111566 382948355 459538026 471167349 628223132 765896710 785278915 919076052 942334698 1148845065 1531793420 1570557830 1884669396 2297690130 2355836745 2533434473 3141115660 4595380260 4711673490 5066868946 7600303419 9423346980 10133737892 12667172365 15200606838 25334344730 30401213676 38001517095 50668689460 76003034190 152006068380 5520353716667 11040707433334 16561061150001 22081414866668 27601768583335 33122122300002 55203537166670 66244244600004 82805305750005 110407074333340 165610611500010 331221223000020