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21133221219 = 3311192533719
BaseRepresentation
bin10011101011101000…
…110101110101100011
32000112210212212112000
4103223220311311203
5321240101034334
613413010135043
71345462262565
oct235350656543
960483785460
1021133221219
118a65174990
124119581483
131cba3ba836
1410469d1335
1583a4b5299
hex4eba35d63

21133221219 has 96 divisors (see below), whose sum is σ = 36736934400. Its totient is φ = 11901764160.

The previous prime is 21133221211. The next prime is 21133221229. The reversal of 21133221219 is 91212233112.

21133221219 is a `hidden beast` number, since 211 + 3 + 322 + 121 + 9 = 666.

It is not a de Polignac number, because 21133221219 - 23 = 21133221211 is a prime.

It is a super-2 number, since 2×211332212192 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21133221192 and 21133221201.

It is not an unprimeable number, because it can be changed into a prime (21133221211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5680642 + ... + 5684360.

It is an arithmetic number, because the mean of its divisors is an integer number (382676400).

Almost surely, 221133221219 is an apocalyptic number.

21133221219 is a deficient number, since it is larger than the sum of its proper divisors (15603713181).

21133221219 is a wasteful number, since it uses less digits than its factorization.

21133221219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3830 (or 3805 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The spelling of 21133221219 in words is "twenty-one billion, one hundred thirty-three million, two hundred twenty-one thousand, two hundred nineteen".

Divisors: 1 3 9 11 19 27 33 53 57 99 159 171 209 297 361 477 513 583 627 1007 1083 1431 1749 1881 3021 3249 3719 3971 5247 5643 9063 9747 11077 11157 11913 15741 19133 27189 33231 33471 35739 40909 57399 70661 99693 100413 107217 122727 172197 197107 210463 211983 299079 368181 516591 591321 631389 635949 777271 1104543 1342559 1773963 1894167 1907847 2168177 2331813 3745033 4027677 5321889 5682501 6504531 6995439 11235099 12083031 14768149 19513593 20986317 33705297 36249093 41195363 44304447 58540779 71155627 101115891 123586089 132913341 213466881 370758267 398740023 640400643 782711897 1112274801 1921201929 2348135691 7044407073 21133221219