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21210320222010 = 234553510196857
BaseRepresentation
bin1001101001010011010011…
…00110100011011100111010
32210002200112200111012210000
410310221221212203130322
510240002213434101020
6113035515300533430
74316252336121513
oct464515146433472
983080480435700
1021210320222010
1168382788a4727
1224668513b1276
13bab180a1718a
14534829263a0a
1526bae0ad5090
hex134a699a373a

21210320222010 has 160 divisors (see below), whose sum is σ = 58120265115792. Its totient is φ = 5548221619200.

The previous prime is 21210320221991. The next prime is 21210320222029. The reversal of 21210320222010 is 1022202301212.

21210320222010 is a `hidden beast` number, since 2 + 121 + 0 + 320 + 2 + 220 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21210320221991) and next prime (21210320222029).

It can be written as a sum of positive squares in 8 ways, for example, as 888896352969 + 20321423869041 = 942813^2 + 4507929^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 218937502 + ... + 219034358.

Almost surely, 221210320222010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21210320222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29060132557896).

21210320222010 is an abundant number, since it is smaller than the sum of its proper divisors (36909944893782).

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

21210320222010 is a wasteful number, since it uses less digits than its factorization.

21210320222010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102030 (or 102021 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21210320222010 its reverse (1022202301212), we get a palindrome (22232522523222).

The spelling of 21210320222010 in words is "twenty-one trillion, two hundred ten billion, three hundred twenty million, two hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 265 270 318 405 477 530 795 810 954 1431 1590 2385 2862 4293 4770 5101 7155 8586 10202 14310 15303 21465 25505 30606 42930 45909 51010 76515 91818 96857 137727 153030 193714 229545 270353 275454 290571 413181 459090 484285 540706 581142 688635 811059 826362 871713 968570 1351765 1377270 1452855 1622118 1743426 2065905 2433177 2615139 2703530 2905710 4055295 4131810 4358565 4866354 5133421 5230278 7299531 7845417 8110590 8717130 10266842 12165885 13075695 14599062 15400263 15690834 21898593 24331770 25667105 26151390 30800526 36497655 39227085 43797186 46200789 51334210 72995310 77001315 78454170 92401578 109492965 138602367 154002630 218985930 231003945 277204734 415807101 462007890 494067557 693011835 831614202 988135114 1386023670 1482202671 2079035505 2470337785 2964405342 4158071010 4446608013 4940675570 7411013355 8893216026 13339824039 14822026710 22233040065 26185580521 26679648078 40019472117 44466080130 52371161042 66699120195 78556741563 80038944234 130927902605 133398240390 157113483126 200097360585 235670224689 261855805210 392783707815 400194721170 471340449378 707010674067 785567415630 1178351123445 1414021348134 2121032022201 2356702246890 3535053370335 4242064044402 7070106740670 10605160111005 21210320222010