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2121131320 = 235711688679
BaseRepresentation
bin111111001101101…
…1110010100111000
312110211021122011021
41332123132110320
513321002200240
6550251112224
7103364214220
oct17633362470
95424248137
102121131320
119993613a0
124b2442674
1327a5a91b9
141619cb080
15c633d54a
hex7e6de538

2121131320 has 64 divisors (see below), whose sum is σ = 5950195200. Its totient is φ = 661130880.

The previous prime is 2121131303. The next prime is 2121131371. The reversal of 2121131320 is 231311212.

It is a junction number, because it is equal to n+sod(n) for n = 2121131294 and 2121131303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341260 + ... + 347419.

It is an arithmetic number, because the mean of its divisors is an integer number (92971800).

Almost surely, 22121131320 is an apocalyptic number.

2121131320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121131320 is an abundant number, since it is smaller than the sum of its proper divisors (3829063880).

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

2121131320 is a wasteful number, since it uses less digits than its factorization.

2121131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688708 (or 688704 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2121131320 is about 46055.7414444714. The cubic root of 2121131320 is about 1284.8601280025.

Adding to 2121131320 its reverse (231311212), we get a palindrome (2352442532).

The spelling of 2121131320 in words is "two billion, one hundred twenty-one million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 688679 1377358 2754716 3443395 4820753 5509432 6886790 7575469 9641506 13773580 15150938 19283012 24103765 27547160 30301876 37877345 38566024 48207530 53028283 60603752 75754690 96415060 106056566 151509380 192830120 212113132 265141415 303018760 424226264 530282830 1060565660 2121131320