Search a number
-
+
21133320208 = 24711132101501
BaseRepresentation
bin10011101011101001…
…001110000000010000
32000112211001220022021
4103223221032000100
5321240112221313
613413012221224
71345463154310
oct235351160020
960484056267
1021133320208
118a652322a0
12411960a814
131cba423900
141046a19440
1583a4d478d
hex4eba4e010

21133320208 has 120 divisors (see below), whose sum is σ = 55278801216. Its totient is φ = 7600320000.

The previous prime is 21133320179. The next prime is 21133320227. The reversal of 21133320208 is 80202333112.

It is a super-2 number, since 2×211333202082 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157458 + ... + 258958.

Almost surely, 221133320208 is an apocalyptic number.

21133320208 is a gapful number since it is divisible by the number (28) 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 21133320208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27639400608).

21133320208 is an abundant number, since it is smaller than the sum of its proper divisors (34145481008).

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

21133320208 is a wasteful number, since it uses less digits than its factorization.

21133320208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101553 (or 101534 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The spelling of 21133320208 in words is "twenty-one billion, one hundred thirty-three million, three hundred twenty thousand, two hundred eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 169 176 182 208 286 308 338 364 572 616 676 728 1001 1144 1183 1232 1352 1456 1859 2002 2288 2366 2704 3718 4004 4732 7436 8008 9464 13013 14872 16016 18928 26026 29744 52052 101501 104104 203002 208208 406004 710507 812008 1116511 1319513 1421014 1624016 2233022 2639026 2842028 4466044 5278052 5684056 7815577 8932088 9236591 10556104 11368112 14514643 15631154 17153669 17864176 18473182 21112208 29029286 31262308 34307338 36946364 58058572 62524616 68614676 73892728 101602501 116117144 120075683 125049232 137229352 147785456 188690359 203205002 232234288 240151366 274458704 377380718 406410004 480302732 754761436 812820008 960605464 1320832513 1509522872 1625640016 1921210928 2641665026 3019045744 5283330052 10566660104 21133320208