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21012102022221 = 351034791752631
BaseRepresentation
bin1001100011100010000101…
…11000001000010001001101
32202101201220111222100200000
410301301002320020101031
510223230241104202341
6112404454300554513
74266034322201352
oct461610270102115
982351814870600
1021012102022221
116771200897392
122434352552a39
13b955818b516b
14528dc3a7c629
1526688dcc18b6
hex131c42e0844d

21012102022221 has 48 divisors (see below), whose sum is σ = 31846865756160. Its totient is φ = 13843098981360.

The previous prime is 21012102022201. The next prime is 21012102022237. The reversal of 21012102022221 is 12222020121012.

It is a happy number.

21012102022221 is a `hidden beast` number, since 210 + 1 + 210 + 2 + 0 + 22 + 221 = 666.

It is not a de Polignac number, because 21012102022221 - 218 = 21012101760077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21012102022194 and 21012102022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21012102022201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11112576 + ... + 12865206.

It is an arithmetic number, because the mean of its divisors is an integer number (663476369920).

Almost surely, 221012102022221 is an apocalyptic number.

It is an amenable number.

21012102022221 is a deficient number, since it is larger than the sum of its proper divisors (10834763733939).

21012102022221 is a wasteful number, since it uses less digits than its factorization.

21012102022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753228 (or 1753216 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21012102022221 its reverse (12222020121012), we get a palindrome (33234122143233).

The spelling of 21012102022221 in words is "twenty-one trillion, twelve billion, one hundred two million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 27 81 103 243 309 479 927 1437 2781 4311 8343 12933 25029 38799 49337 116397 148011 444033 1332099 1752631 3996297 5257893 11988891 15773679 47321037 141963111 180520993 425889333 541562979 839510249 1624688937 2518530747 4874066811 7555592241 14622200433 22666776723 43866601299 68000330169 86469555647 204000990507 259408666941 778226000823 2334678002469 7004034007407 21012102022221