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21214030042221 = 31967233104922727
BaseRepresentation
bin1001101001011010001101…
…01110011001010001101101
32210010001010020011121101120
410310231012232121101231
510240032313142322341
6113041331343131153
74316443304066052
oct464550656312155
983101106147346
1021214030042221
116839901a01545
1224675078a3ab9
13bab622498873
14534a9bc3d029
1526bc5b63b066
hex134b46b9946d

21214030042221 has 64 divisors (see below), whose sum is σ = 30378426624000. Its totient is φ = 13128608756736.

The previous prime is 21214030042207. The next prime is 21214030042267. The reversal of 21214030042221 is 12224003041212.

It is not a de Polignac number, because 21214030042221 - 215 = 21214030009453 is a prime.

It is a super-2 number, since 2×212140300422212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21214030042191 and 21214030042200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21214030042321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 933417160 + ... + 933439886.

It is an arithmetic number, because the mean of its divisors is an integer number (474662916000).

Almost surely, 221214030042221 is an apocalyptic number.

It is an amenable number.

21214030042221 is a deficient number, since it is larger than the sum of its proper divisors (9164396581779).

21214030042221 is a wasteful number, since it uses less digits than its factorization.

21214030042221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24098.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 21214030042221 its reverse (12224003041212), we get a palindrome (33438033083433).

The spelling of 21214030042221 in words is "twenty-one trillion, two hundred fourteen billion, thirty million, forty-two thousand, two hundred twenty-one".

Divisors: 1 3 19 57 67 201 233 699 1049 1273 3147 3819 4427 13281 15611 19931 22727 46833 59793 68181 70283 210849 244417 296609 431813 733251 889827 1295439 1335377 1522709 4006131 4568127 4643923 5295391 13931769 15886173 16375939 23840623 28931471 49127817 71521869 86794413 100612429 301837287 311142841 354791197 452971837 933428523 1064373591 1358915511 1597321741 4791965223 5554865159 6741032743 16664595477 20223098229 30349113079 91047339237 105542438021 316627314063 372175965653 1116527896959 7071343347407 21214030042221