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102201110011 = 72111340136373
BaseRepresentation
bin101111100101110101…
…0010010110111111011
3100202210120102022112201
41133023222102313323
53133301441010021
6114541152251031
710245432046600
oct1371352226773
9322716368481
10102201110011
113a385953690
1217982b40a77
13983983c3c0
144d3750a6a7
1529d25c5591
hex17cba92dfb

102201110011 has 48 divisors (see below), whose sum is σ = 140023604448. Its totient is φ = 73325952000.

The previous prime is 102201109999. The next prime is 102201110021. The reversal of 102201110011 is 110011102201.

It is not a de Polignac number, because 102201110011 - 25 = 102201109979 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102201110011.

It is not an unprimeable number, because it can be changed into a prime (102201110021) 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, 2791621 + ... + 2827993.

It is an arithmetic number, because the mean of its divisors is an integer number (2917158426).

Almost surely, 2102201110011 is an apocalyptic number.

102201110011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102201110011 is a deficient number, since it is larger than the sum of its proper divisors (37822494437).

102201110011 is a wasteful number, since it uses less digits than its factorization.

102201110011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36812 (or 36805 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102201110011 its reverse (110011102201), we get a palindrome (212212212212).

It can be divided in two parts, 102201 and 110011, that multiplied together give a palindrome (11243234211).

The spelling of 102201110011 in words is "one hundred two billion, two hundred one million, one hundred ten thousand, eleven".

Divisors: 1 7 11 13 49 77 91 143 401 539 637 1001 2807 4411 5213 7007 19649 30877 36373 36491 57343 216139 254611 255437 400103 401401 472849 1782277 2800721 2809807 3309943 5201339 14585573 19605047 23169601 36409373 102099011 160441303 189612449 254865611 714693077 1123089121 1327287143 2085736939 7861623847 9291010001 14600158573 102201110011