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21210200012001 = 371113373139439
BaseRepresentation
bin1001101001010011000100…
…11011111111010011100001
32210002200020022021220122110
410310221202123333103201
510240001442200341001
6113035455324225533
74316246346264150
oct464514233772341
983080208256573
1021210200012001
116838216a5a110
12246681909b2a9
13bab161b487b0
145348172d1597
1526bad528c3d6
hex134a626ff4e1

21210200012001 has 128 divisors (see below), whose sum is σ = 39025708646400. Its totient is φ = 9895769844480.

The previous prime is 21210200011967. The next prime is 21210200012093. The reversal of 21210200012001 is 10021000201212.

It is not a de Polignac number, because 21210200012001 - 214 = 21210199995617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21210200012201) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 152041240 + ... + 152180678.

It is an arithmetic number, because the mean of its divisors is an integer number (304888348800).

Almost surely, 221210200012001 is an apocalyptic number.

21210200012001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21210200012001 is a deficient number, since it is larger than the sum of its proper divisors (17815508634399).

21210200012001 is a wasteful number, since it uses less digits than its factorization.

21210200012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139584 (or 139510 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21210200012001 its reverse (10021000201212), we get a palindrome (31231200213213).

The spelling of 21210200012001 in words is "twenty-one trillion, two hundred ten billion, two hundred million, twelve thousand, one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1369 1443 2849 3003 3367 4107 5291 8547 9583 10101 15059 15873 17797 28749 37037 45177 50653 53391 105413 111111 124579 139439 151959 195767 316239 354571 373737 418317 557183 587301 658489 976073 1063713 1370369 1533829 1671549 1812707 1975467 2928219 3900281 4111107 4601487 4609423 5159243 5438121 7243379 10736803 11700843 12688949 13828269 15477729 19939777 21730137 32210409 36114701 38066847 50703653 56751673 59819331 67070159 108344103 139578439 152110959 170255019 190891991 201210477 397261711 418735317 469491113 572675973 737771749 1191785133 1336243937 1408473339 2099811901 2213315247 2481595883 4008731811 5164402243 6299435703 7063003667 7444787649 14698683307 15493206729 17371171181 21189011001 27297554713 44096049921 49441025669 52113513543 77693040337 81892664139 91819047671 148323077007 191082882991 233079121011 275457143013 543851282359 573248648973 642733333697 1010009524381 1631553847077 1928200001091 3030028573143 7070066670667 21210200012001