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201001021221 = 3711133710117911
BaseRepresentation
bin1011101100110010011…
…0000010111100100101
3201012211002212211110110
42323030212002330211
511243122230134341
6232201045243233
720343664330140
oct2731446027445
9635732784413
10201001021221
1178275922270
1232b56a03519
1315c53826120
149a2b017057
1553662a8216
hex2ecc982f25

201001021221 has 128 divisors (see below), whose sum is σ = 373239078912. Its totient is φ = 92845440000.

The previous prime is 201001021201. The next prime is 201001021349. The reversal of 201001021221 is 122120100102.

201001021221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201001021221 - 25 = 201001021189 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 201001021197 and 201001021206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201001021201) 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 127 ways as a sum of consecutive naturals, for example, 11213256 + ... + 11231166.

It is an arithmetic number, because the mean of its divisors is an integer number (2915930304).

Almost surely, 2201001021221 is an apocalyptic number.

201001021221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201001021221 is a deficient number, since it is larger than the sum of its proper divisors (172238057691).

201001021221 is a wasteful number, since it uses less digits than its factorization.

201001021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18083.

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

Adding to 201001021221 its reverse (122120100102), we get a palindrome (323121121323).

It can be divided in two parts, 20100102 and 1221, that multiplied together give a palindrome (24542224542).

The spelling of 201001021221 in words is "two hundred one billion, one million, twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 101 111 143 231 259 273 303 407 429 481 707 777 1001 1111 1221 1313 1443 2121 2849 3003 3333 3367 3737 3939 5291 7777 8547 9191 10101 11211 14443 15873 17911 23331 26159 27573 37037 41107 43329 48581 53733 78477 101101 111111 123321 125377 145743 197021 232843 287749 303303 340067 376131 534391 591063 662707 698529 863247 1020201 1379147 1603173 1629901 1809011 1988121 2561273 3740737 4137441 4638949 4889703 5427033 7289777 7683819 8615191 11222211 12663077 13916847 17928911 19899121 21869331 23517143 25845573 37989231 51028439 53786733 59697363 60306337 66933407 70551429 94767101 139293847 153085317 164620001 180919011 200800221 258688573 284301303 417881541 468533849 493860003 663369707 736267477 776065719 870134291 1405601547 1810820011 1990109121 2208802431 2610402873 5153872339 5432460033 6090940037 9571477201 15461617017 18272820111 28714431603 67000340407 201001021221