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211130310440 = 2357839084781
BaseRepresentation
bin1100010010100001011…
…0001101111100101000
3202011222000221001001102
43010220112031330220
511424343324413230
6240554131140532
721153002012450
oct3045026157450
9664860831042
10211130310440
11815a3613175
1234b03144748
1316ba924069a
14a30c3d2d60
15575a6a4045
hex312858df28

211130310440 has 64 divisors (see below), whose sum is σ = 549447615360. Its totient is φ = 71515388160.

The previous prime is 211130310437. The next prime is 211130310473. The reversal of 211130310440 is 44013031112.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 4519151 + ... + 4565630.

It is an arithmetic number, because the mean of its divisors is an integer number (8585118990).

Almost surely, 2211130310440 is an apocalyptic number.

211130310440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211130310440 is an abundant number, since it is smaller than the sum of its proper divisors (338317304920).

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

211130310440 is a wasteful number, since it uses less digits than its factorization.

211130310440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9084882 (or 9084878 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 211130310440 its reverse (44013031112), we get a palindrome (255143341552).

The spelling of 211130310440 in words is "two hundred eleven billion, one hundred thirty million, three hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 140 166 280 332 415 581 664 830 1162 1660 2324 2905 3320 4648 5810 11620 23240 9084781 18169562 36339124 45423905 63593467 72678248 90847810 127186934 181695620 254373868 317967335 363391240 508747736 635934670 754036823 1271869340 1508073646 2543738680 3016147292 3770184115 5278257761 6032294584 7540368230 10556515522 15080736460 21113031044 26391288805 30161472920 42226062088 52782577610 105565155220 211130310440