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211320310020 = 223519267714411
BaseRepresentation
bin1100010011001110101…
…1000000100100000100
3202012110021110000110220
43010303223000210010
511430240444410040
6241025035344340
721160466666211
oct3046353004404
9665407400426
10211320310020
1181690895716
1234b568b20b0
1316c09705b81
14a329730b08
15576c1d52d0
hex3133ac0904

211320310020 has 144 divisors (see below), whose sum is σ = 625443674688. Its totient is φ = 53303627520.

The previous prime is 211320309979. The next prime is 211320310037. The reversal of 211320310020 is 20013023112.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 14656615 + ... + 14671025.

It is an arithmetic number, because the mean of its divisors is an integer number (4343358852).

Almost surely, 2211320310020 is an apocalyptic number.

211320310020 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 211320310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312721837344).

211320310020 is an abundant number, since it is smaller than the sum of its proper divisors (414123364668).

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

211320310020 is a wasteful number, since it uses less digits than its factorization.

211320310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15138 (or 15117 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 211320310020 its reverse (20013023112), we get a palindrome (231333333132).

The spelling of 211320310020 in words is "two hundred eleven billion, three hundred twenty million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 570 677 722 1083 1140 1354 1444 1805 2031 2166 2708 3385 3610 4062 4332 5415 6770 7220 8124 10155 10830 12863 13540 14411 20310 21660 25726 28822 38589 40620 43233 51452 57644 64315 72055 77178 86466 128630 144110 154356 172932 192945 216165 244397 257260 273809 288220 385890 432330 488794 547618 733191 771780 821427 864660 977588 1095236 1221985 1369045 1466382 1642854 2443970 2738090 2932764 3285708 3665955 4107135 4887940 5202371 5476180 7331910 8214270 9756247 10404742 14663820 15607113 16428540 19512494 20809484 26011855 29268741 31214226 39024988 48781235 52023710 58537482 62428452 78035565 97562470 104047420 117074964 146343705 156071130 185368693 195124940 292687410 312142260 370737386 556106079 585374820 741474772 926843465 1112212158 1853686930 2224424316 2780530395 3522005167 3707373860 5561060790 7044010334 10566015501 11122121580 14088020668 17610025835 21132031002 35220051670 42264062004 52830077505 70440103340 105660155010 211320310020