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102201012002211 = 33113071111975619
BaseRepresentation
bin10111001111001110000111…
…000001000001110110100011
3111101212022200020201002210120
4113033032013001001312203
5101343430133033032321
61001210255144331323
730345531231364143
oct2717160701016643
9441768606632716
10102201012002211
112a62322999a421
12b5672a8173b43
13450468b579655
141b347abd36923
15bc37399c3ec6
hex5cf387041da3

102201012002211 has 32 divisors (see below), whose sum is σ = 140785904025600. Its totient is φ = 65878891604640.

The previous prime is 102201012002203. The next prime is 102201012002237. The reversal of 102201012002211 is 112200210102201.

It is not a de Polignac number, because 102201012002211 - 23 = 102201012002203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102201012002611) 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 31 ways as a sum of consecutive naturals, for example, 1351487760 + ... + 1351563378.

It is an arithmetic number, because the mean of its divisors is an integer number (4399559500800).

Almost surely, 2102201012002211 is an apocalyptic number.

102201012002211 is a deficient number, since it is larger than the sum of its proper divisors (38584892023389).

102201012002211 is a wasteful number, since it uses less digits than its factorization.

102201012002211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88079.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102201012002211 its reverse (112200210102201), we get a palindrome (214401222104412).

The spelling of 102201012002211 in words is "one hundred two trillion, two hundred one billion, twelve million, two thousand, two hundred eleven".

Divisors: 1 3 31 93 1307 3921 11119 33357 40517 75619 121551 226857 344689 1034067 2344189 7032567 14532533 43597599 98834033 296502099 450508523 840807661 1351525569 2522422983 3063855023 9191565069 26065037491 78195112473 1098935612927 3296806838781 34067004000737 102201012002211