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213221330312100 = 2235211157411544741
BaseRepresentation
bin110000011110110001110101…
…101001101101101110100100
31000221221202112010011101201120
4300132301311221231232210
5210421404241024441400
62033252305450453540
762624506222566105
oct6036616551555644
91027852463141646
10213221330312100
1161a36727324450
121bab78801342b0
1391c88ba4300c6
143a91d789843ac
15199b5995e2ca0
hexc1ec75a6dba4

213221330312100 has 144 divisors (see below), whose sum is σ = 677290705162176. Its totient is φ = 51360783552000.

The previous prime is 213221330311973. The next prime is 213221330312119. The reversal of 213221330312100 is 1213033122312.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205254271 + ... + 206290470.

Almost surely, 2213221330312100 is an apocalyptic number.

213221330312100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213221330312100 is an abundant number, since it is smaller than the sum of its proper divisors (464069374850076).

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

213221330312100 is a wasteful number, since it uses less digits than its factorization.

213221330312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411544926 (or 411544919 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 213221330312100 its reverse (1213033122312), we get a palindrome (214434363434412).

The spelling of 213221330312100 in words is "two hundred thirteen trillion, two hundred twenty-one billion, three hundred thirty million, three hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 157 165 220 275 300 314 330 471 550 628 660 785 825 942 1100 1570 1650 1727 1884 2355 3140 3300 3454 3925 4710 5181 6908 7850 8635 9420 10362 11775 15700 17270 20724 23550 25905 34540 43175 47100 51810 86350 103620 129525 172700 259050 518100 411544741 823089482 1234634223 1646178964 2057723705 2469268446 4115447410 4526992151 4938536892 6173171115 8230894820 9053984302 10288618525 12346342230 13580976453 18107968604 20577237050 22634960755 24692684460 27161952906 30865855575 41154474100 45269921510 54323905812 61731711150 64612524337 67904882265 90539843020 113174803775 123463422300 129225048674 135809764530 193837573011 226349607550 258450097348 271619529060 323062621685 339524411325 387675146022 452699215100 646125243370 679048822650 710737767707 775350292044 969187865055 1292250486740 1358097645300 1421475535414 1615313108425 1938375730110 2132213303121 2842951070828 3230626216850 3553688838535 3876751460220 4264426606242 4845939325275 6461252433700 7107377677070 8528853212484 9691878650550 10661066515605 14214755354140 17768444192675 19383757301100 21322133031210 35536888385350 42644266062420 53305332578025 71073776770700 106610665156050 213221330312100