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21011350320 = 2433510790911
BaseRepresentation
bin10011100100010111…
…111100001100110000
32000020022120012002000
4103210113330030300
5321012401202240
613352534054000
71342452350052
oct234427741460
960208505060
1021011350320
118a023a5534
1240a47aa300
131c9b08a18c
1410347498d2
1582e940430
hex4e45fc330

21011350320 has 160 divisors (see below), whose sum is σ = 73049610240. Its totient is φ = 5550600960.

The previous prime is 21011350307. The next prime is 21011350331. The reversal of 21011350320 is 2305311012.

21011350320 is a `hidden beast` number, since 210 + 1 + 135 + 0 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21011350293 and 21011350302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185665 + ... + 276575.

It is an arithmetic number, because the mean of its divisors is an integer number (456560064).

Almost surely, 221011350320 is an apocalyptic number.

21011350320 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 21011350320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36524805120).

21011350320 is an abundant number, since it is smaller than the sum of its proper divisors (52038259920).

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

21011350320 is a wasteful number, since it uses less digits than its factorization.

21011350320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91040 (or 91028 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 21011350320 its reverse (2305311012), we get a palindrome (23316661332).

The spelling of 21011350320 in words is "twenty-one billion, eleven million, three hundred fifty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 107 108 120 135 144 180 214 216 240 270 321 360 428 432 535 540 642 720 856 963 1070 1080 1284 1605 1712 1926 2140 2160 2568 2889 3210 3852 4280 4815 5136 5778 6420 7704 8560 9630 11556 12840 14445 15408 19260 23112 25680 28890 38520 46224 57780 77040 90911 115560 181822 231120 272733 363644 454555 545466 727288 818199 909110 1090932 1363665 1454576 1636398 1818220 2181864 2454597 2727330 3272796 3636440 4090995 4363728 4909194 5454660 6545592 7272880 8181990 9727477 9818388 10909320 12272985 13091184 16363980 19454954 19636776 21818640 24545970 29182431 32727960 38909908 39273552 48637385 49091940 58364862 65455920 77819816 87547293 97274770 98183880 116729724 145912155 155639632 175094586 194549540 196367760 233459448 262641879 291824310 350189172 389099080 437736465 466918896 525283758 583648620 700378344 778198160 875472930 1050567516 1167297240 1313209395 1400756688 1750945860 2101135032 2334594480 2626418790 3501891720 4202270064 5252837580 7003783440 10505675160 21011350320