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221220010221001 = 112101181920310867
BaseRepresentation
bin110010010011001011001100…
…001000000101110111001001
31002000021102111212120020000221
4302103023030020011313021
5212443432040104033001
62102255023020430041
764411422036166261
oct6223131410056711
91060242455506027
10221220010221001
116453a974637700
1220989b059a8321
139658c5a6a356c
143c8b169b927a1
151a896906ea1a1
hexc932cc205dc9

221220010221001 has 48 divisors (see below), whose sum is σ = 246972979116864. Its totient is φ = 197978085360000.

The previous prime is 221220010220971. The next prime is 221220010221059. The reversal of 221220010221001 is 100122010022122.

It is a happy number.

It is not a de Polignac number, because 221220010221001 - 223 = 221220001832393 is a prime.

It is a super-2 number, since 2×2212200102210012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221220010225001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20357039770 + ... + 20357050636.

It is an arithmetic number, because the mean of its divisors is an integer number (5145270398268).

Almost surely, 2221220010221001 is an apocalyptic number.

It is an amenable number.

221220010221001 is a deficient number, since it is larger than the sum of its proper divisors (25752968895863).

221220010221001 is a wasteful number, since it uses less digits than its factorization.

221220010221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20374 (or 20363 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221220010221001 its reverse (100122010022122), we get a palindrome (321342020243123).

The spelling of 221220010221001 in words is "two hundred twenty-one trillion, two hundred twenty billion, ten million, two hundred twenty-one thousand, one".

Divisors: 1 11 101 121 181 1111 1991 9203 10867 12221 18281 21901 101233 119537 201091 929503 1097567 1113563 1314907 1665743 1966927 2212001 10224533 12073237 18323173 21636197 100009001 112469863 132805607 168240043 198659627 201554903 237998167 1100099011 1850640473 2185255897 10100909101 12101089121 18101629181 20357045203 24037814867 111110000111 199117920991 1222210001221 1828264547281 2190297130901 20110910020091 221220010221001