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331132231320120 = 23345227414494143
BaseRepresentation
bin100101101001010011011101…
…1000001011000001000111000
31121102102221011112121211020000
41023102212323001120020320
5321400232302204220440
63132132014054033000
7126514341244456206
oct11322467301301070
91542387145554200
10331132231320120
1196566432a8740a
123117b78a348760
131129c835060889
145baac57ba6076
152843798a69730
hex12d29bb058238

331132231320120 has 160 divisors (see below), whose sum is σ = 1113021410814720. Its totient is φ = 88298025765120.

The previous prime is 331132231320113. The next prime is 331132231320139. The reversal of 331132231320120 is 21023132231133.

331132231320120 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 322 + 3 + 1 + 320 + 12 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71433769 + ... + 75927911.

It is an arithmetic number, because the mean of its divisors is an integer number (6956383817592).

Almost surely, 2331132231320120 is an apocalyptic number.

331132231320120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331132231320120 is an abundant number, since it is smaller than the sum of its proper divisors (781889179494600).

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

331132231320120 is a wasteful number, since it uses less digits than its factorization.

331132231320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516907 (or 4516894 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 331132231320120 its reverse (21023132231133), we get a palindrome (352155363551253).

The spelling of 331132231320120 in words is "three hundred thirty-one trillion, one hundred thirty-two billion, two hundred thirty-one million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 22741 45482 68223 90964 113705 136446 181928 204669 227410 272892 341115 409338 454820 545784 614007 682230 818676 909640 1023345 1228014 1364460 1637352 1842021 2046690 2456028 2728920 3070035 3684042 4093380 4494143 4912056 6140070 7368084 8186760 8988286 9210105 12280140 13482429 14736168 17976572 18420210 22470715 24560280 26964858 35953144 36840420 40447287 44941430 53929716 67412145 73680840 80894574 89882860 107859432 121341861 134824290 161789148 179765720 202236435 242683722 269648580 323578296 364025583 404472870 485367444 539297160 606709305 728051166 808945740 970734888 1213418610 1456102332 1617891480 1820127915 2426837220 2912204664 3640255830 4853674440 7280511660 14561023320 102201305963 204402611926 306603917889 408805223852 511006529815 613207835778 817610447704 919811753667 1022013059630 1226415671556 1533019589445 1839623507334 2044026119260 2452831343112 2759435261001 3066039178890 3679247014668 4088052238520 4599058768335 5518870522002 6132078357780 7358494029336 8278305783003 9198117536670 11037741044004 12264156715560 13797176305005 16556611566006 18396235073340 22075482088008 27594352610010 33113223132012 36792470146680 41391528915015 55188705220020 66226446264024 82783057830030 110377410440040 165566115660060 331132231320120