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2201100222101 = 1117317318732777
BaseRepresentation
bin100000000001111011110…
…010111111111010010101
321210102102110101121110012
4200001323302333322111
5242030323124101401
64403101012410005
7315011213121464
oct40017362777225
97712373347405
102201100222101
11779532769150
122b6708016905
1312c7417b1331
1478768b2a9db
153c3c7d2d8bb
hex2007bcbfe95

2201100222101 has 64 divisors (see below), whose sum is σ = 2662792206336. Its totient is φ = 1795969843200.

The previous prime is 2201100222089. The next prime is 2201100222103. The reversal of 2201100222101 is 1012220011022.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2201100222101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201100222103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 792616625 + ... + 792619401.

It is an arithmetic number, because the mean of its divisors is an integer number (41606128224).

Almost surely, 22201100222101 is an apocalyptic number.

It is an amenable number.

2201100222101 is a deficient number, since it is larger than the sum of its proper divisors (461691984235).

2201100222101 is a wasteful number, since it uses less digits than its factorization.

2201100222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4782.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2201100222101 its reverse (1012220011022), we get a palindrome (3213320233123).

The spelling of 2201100222101 in words is "two trillion, two hundred one billion, one hundred million, two hundred twenty-two thousand, one hundred one".

Divisors: 1 11 17 31 73 187 341 527 803 1241 1873 2263 2777 5797 13651 20603 24893 30547 31841 38471 47209 58063 86087 136729 202721 350251 423181 519299 638693 946957 987071 1463479 1504019 2229931 2324393 3446257 4238599 5201321 6284351 10857781 16098269 25568323 37908827 46624589 57214531 69127861 72056183 88422457 106833967 161240951 379696433 792618013 972647027 1175173637 1773650461 2741096167 4176660763 6454839361 11770589423 30152057837 71003232971 129476483653 200100020191 2201100222101