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213001331120 = 245235319311317
BaseRepresentation
bin1100011001011111011…
…1100110000110110000
3202100210102120201220122
43012113313212012300
511442211320043440
6241503525425412
721250241304314
oct3062767460660
9670712521818
10213001331120
1182373775756
123534586b268
1317116a68a06
14a448ab5b44
155819a8a7b5
hex3197de61b0

213001331120 has 160 divisors (see below), whose sum is σ = 529284730752. Its totient is φ = 79537176576.

The previous prime is 213001331041. The next prime is 213001331129. The reversal of 213001331120 is 21133100312.

It is not an unprimeable number, because it can be changed into a prime (213001331129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18815702 + ... + 18827018.

Almost surely, 2213001331120 is an apocalyptic number.

213001331120 is a gapful number since it is divisible by the number (20) 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 213001331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264642365376).

213001331120 is an abundant number, since it is smaller than the sum of its proper divisors (316283399632).

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

213001331120 is a wasteful number, since it uses less digits than its factorization.

213001331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11599 (or 11593 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 213001331120 its reverse (21133100312), we get a palindrome (234134431432).

The spelling of 213001331120 in words is "two hundred thirteen billion, one million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 53 80 92 106 115 184 193 212 230 265 368 386 424 460 530 772 848 920 965 1060 1219 1544 1840 1930 2120 2438 3088 3860 4240 4439 4876 6095 7720 8878 9752 10229 11317 12190 15440 17756 19504 20458 22195 22634 24380 35512 40916 44390 45268 48760 51145 56585 71024 81832 88780 90536 97520 102290 113170 163664 177560 181072 204580 226340 235267 260291 355120 409160 452680 470534 520582 599801 818320 905360 941068 1041164 1176335 1199602 1301455 1882136 2082328 2184181 2352670 2399204 2602910 2999005 3764272 4164656 4368362 4705340 4798408 5205820 5998010 8736724 9410680 9596816 10411640 10920905 11996020 13795423 17473448 18821360 20823280 21841810 23992040 27590846 34946896 43683620 47984080 50236163 55181692 68977115 87367240 100472326 110363384 115761593 137954230 174734480 200944652 220726768 231523186 251180815 275908460 401889304 463046372 502361630 551816920 578807965 803778608 926092744 1004723260 1103633840 1157615930 1852185488 2009446520 2315231860 2662516639 4018893040 4630463720 5325033278 9260927440 10650066556 13312583195 21300133112 26625166390 42600266224 53250332780 106500665560 213001331120