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21302331321320 = 2357373167649261
BaseRepresentation
bin1001101011111110101011…
…11001000010101111101000
32210102111001002121100111222
410311333111321002233220
510243004133304240240
6113150053402041212
74326020425425410
oct465772571025750
983374032540458
1021302331321320
1168732a4753465
12248064b7a9208
13bb6a5539b83a
145390772a9640
1526e1c87b7eb5
hex135fd5e42be8

21302331321320 has 128 divisors (see below), whose sum is σ = 56275744757760. Its totient is φ = 7104005544960.

The previous prime is 21302331321277. The next prime is 21302331321331. The reversal of 21302331321320 is 2312313320312.

It is a self number, because there is not a number n which added to its sum of digits gives 21302331321320.

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, 32485490 + ... + 33134750.

It is an arithmetic number, because the mean of its divisors is an integer number (439654255920).

Almost surely, 221302331321320 is an apocalyptic number.

21302331321320 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 21302331321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28137872378880).

21302331321320 is an abundant number, since it is smaller than the sum of its proper divisors (34973413436440).

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

21302331321320 is a wasteful number, since it uses less digits than its factorization.

21302331321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652483 (or 652479 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 21302331321320 its reverse (2312313320312), we get a palindrome (23614644641632).

The spelling of 21302331321320 in words is "twenty-one trillion, three hundred two billion, three hundred thirty-one million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 518 740 1036 1295 1480 2072 2590 3167 5180 6334 10360 12668 15835 22169 25336 31670 44338 63340 88676 110845 117179 126680 177352 221690 234358 443380 468716 585895 649261 820253 886760 937432 1171790 1298522 1640506 2343580 2597044 3246305 3281012 4101265 4544827 4687160 5194088 6492610 6562024 8202530 9089654 12985220 16405060 18179308 22724135 24022657 25970440 32810120 36358616 45448270 48045314 90896540 96090628 120113285 168158599 181793080 192181256 240226570 336317198 480453140 672634396 840792995 960906280 1345268792 1681585990 2056209587 3363171980 4112419174 6726343960 8224838348 10281047935 14393467109 16449676696 20562095870 28786934218 41124191740 57573868436 71967335545 76079754719 82248383480 115147736872 143934671090 152159509438 287869342180 304319018876 380398773595 532558283033 575738684360 608638037752 760797547190 1065116566066 1521595094380 2130233132132 2662791415165 3043190188760 4260466264264 5325582830330 10651165660660 21302331321320