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21210122210193 = 337439467275677
BaseRepresentation
bin1001101001010010111011…
…10011001100101110010001
32210002200000212220011122000
410310221131303030232101
510240001312241211233
6113035443504504213
74316244413054550
oct464513563145621
983080025804560
1021210122210193
11683818704a4a4
1224667b701b069
13bab14b9a7b17
1453480ac3bd97
1526bacd51ed13
hex134a5dcccb91

21210122210193 has 64 divisors (see below), whose sum is σ = 36750479800320. Its totient is φ = 11836914336576.

The previous prime is 21210122210171. The next prime is 21210122210281. The reversal of 21210122210193 is 39101222101212.

It is not a de Polignac number, because 21210122210193 - 216 = 21210122144657 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21210122210093) 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, 76800471 + ... + 77076147.

It is an arithmetic number, because the mean of its divisors is an integer number (574226246880).

Almost surely, 221210122210193 is an apocalyptic number.

It is an amenable number.

21210122210193 is a deficient number, since it is larger than the sum of its proper divisors (15540357590127).

21210122210193 is a wasteful number, since it uses less digits than its factorization.

21210122210193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285203 (or 285197 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 21210122210193 in words is "twenty-one trillion, two hundred ten billion, one hundred twenty-two million, two hundred ten thousand, one hundred ninety-three".

Divisors: 1 3 7 9 21 27 43 63 129 189 301 387 903 1161 2709 8127 9467 28401 66269 85203 198807 255609 275677 407081 596421 827031 1221243 1789263 1929739 2481093 2849567 3663729 5789217 7443279 8548701 10991187 11854111 17367651 25646103 35562333 52102953 76938309 82978777 106686999 248936331 320060997 746808993 2240426979 2609834159 7829502477 18268839113 23488507431 54806517339 70465522293 112222868837 164419552017 336668606511 493258656051 785560081859 1010005819533 2356680245577 3030017458599 7070040736731 21210122210193