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21202221001 = 133294371109
BaseRepresentation
bin10011101111110000…
…000011011111001001
32000201121201102102111
4103233300003133021
5321410232033001
613423513102321
71350260622253
oct235760033711
960647642374
1021202221001
118aa01124a5
1241386b79a1
131ccb799000
141051c32cd3
15841594851
hex4efc037c9

21202221001 has 64 divisors (see below), whose sum is σ = 24881472000. Its totient is φ = 18030055680.

The previous prime is 21202220993. The next prime is 21202221017. The reversal of 21202221001 is 10012220212.

It is a happy number.

It is not a de Polignac number, because 21202221001 - 23 = 21202220993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21202221091) 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 63 ways as a sum of consecutive naturals, for example, 194515735 + ... + 194515843.

It is an arithmetic number, because the mean of its divisors is an integer number (388773000).

Almost surely, 221202221001 is an apocalyptic number.

It is an amenable number.

21202221001 is a deficient number, since it is larger than the sum of its proper divisors (3679250999).

21202221001 is a wasteful number, since it uses less digits than its factorization.

21202221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21202221001 its reverse (10012220212), we get a palindrome (31214441213).

The spelling of 21202221001 in words is "twenty-one billion, two hundred two million, two hundred twenty-one thousand, one".

Divisors: 1 13 29 43 71 109 169 377 559 923 1247 1417 2059 2197 3053 3161 4687 4901 7267 7739 11999 16211 18421 26767 39689 41093 60931 63713 88537 94471 100607 135923 155987 210743 224431 239473 332777 347971 515957 534209 792103 1150981 1307891 1766999 2739659 2917603 4326101 4523623 6707441 6944717 9650533 10297339 14962753 17002583 22970987 37928839 56239313 125456929 194515789 298622831 493074907 731111069 1630940077 21202221001