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211104455320 = 235112139931177
BaseRepresentation
bin1100010010011011001…
…1100101101010011000
3202011220020021110111101
43010212303211222120
511424320220032240
6240551405041144
721152236156213
oct3044663455230
9664806243441
10211104455320
118158aa63900
1234ab65561b4
1316ba3a8a1b5
14a308bc277a
15575829839a
hex3126ce5a98

211104455320 has 96 divisors (see below), whose sum is σ = 522480924000. Its totient is φ = 76707924480.

The previous prime is 211104455281. The next prime is 211104455323. The reversal of 211104455320 is 23554401112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211104455323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6755572 + ... + 6786748.

It is an arithmetic number, because the mean of its divisors is an integer number (5442509625).

Almost surely, 2211104455320 is an apocalyptic number.

211104455320 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 211104455320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261240462000).

211104455320 is an abundant number, since it is smaller than the sum of its proper divisors (311376468680).

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

211104455320 is a wasteful number, since it uses less digits than its factorization.

211104455320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32609 (or 32594 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 211104455320 its reverse (23554401112), we get a palindrome (234658856432).

The spelling of 211104455320 in words is "two hundred eleven billion, one hundred four million, four hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 1399 2420 2798 4840 5596 6995 11192 13990 15389 27980 30778 31177 55960 61556 62354 76945 123112 124708 153890 155885 169279 249416 307780 311770 338558 342947 615560 623540 677116 685894 846395 1247080 1354232 1371788 1692790 1714735 2743576 3385580 3429470 3772417 6771160 6858940 7544834 13717880 15089668 18862085 30179336 37724170 43616623 75448340 87233246 150896680 174466492 218083115 348932984 436166230 479782853 872332460 959565706 1744664920 1919131412 2398914265 3838262824 4797828530 5277611383 9595657060 10555222766 19191314120 21110445532 26388056915 42220891064 52776113830 105552227660 211104455320