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21243032217 = 3411413731559
BaseRepresentation
bin10011110010001011…
…101111001010011001
32000211110111211220000
4103302023233022121
5322001204012332
613431531523213
71351264536351
oct236213571231
960743454800
1021243032217
119011157580
12414a2b9509
132007087b64
141057417b61
15844e56b7c
hex4f22ef299

21243032217 has 80 divisors (see below), whose sum is σ = 35580504960. Its totient is φ = 12518841600.

The previous prime is 21243032207. The next prime is 21243032233. The reversal of 21243032217 is 71223034212.

21243032217 is a `hidden beast` number, since 2 + 1 + 2 + 430 + 3 + 221 + 7 = 666.

It is not a de Polignac number, because 21243032217 - 28 = 21243031961 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (21243032207) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 13625284 + ... + 13626842.

It is an arithmetic number, because the mean of its divisors is an integer number (444756312).

Almost surely, 221243032217 is an apocalyptic number.

21243032217 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

21243032217 is a deficient number, since it is larger than the sum of its proper divisors (14337472743).

21243032217 is a wasteful number, since it uses less digits than its factorization.

21243032217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 21243032217 its reverse (71223034212), we get a palindrome (92466066429).

The spelling of 21243032217 in words is "twenty-one billion, two hundred forty-three million, thirty-two thousand, two hundred seventeen".

Divisors: 1 3 9 11 27 33 41 81 99 123 297 369 373 451 891 1107 1119 1353 1559 3321 3357 4059 4103 4677 10071 12177 12309 14031 15293 17149 30213 36531 36927 42093 45879 51447 63919 110781 126279 137637 154341 168223 191757 332343 412911 463023 504669 575271 581507 703109 1238733 1389069 1514007 1725813 1744521 2109327 4542021 5177439 5233563 6327981 6396577 13626063 15700689 18983943 19189731 23841787 47102067 56951829 57569193 71525361 172707579 214576083 262259657 518122737 643728249 786778971 1931184747 2360336913 7081010739 21243032217