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102200100211 = 1141271836191
BaseRepresentation
bin101111100101110011…
…0011100010101110011
3100202210111112000100201
41133023212130111303
53133301211201321
6114541114500031
710245420342556
oct1371346342563
9322714460321
10102200100211
113a385323a40
1217982734617
1398395778a1
144d3732669d
1529d2476291
hex17cb99c573

102200100211 has 16 divisors (see below), whose sum is σ = 114631888896. Its totient is φ = 90308520000.

The previous prime is 102200100209. The next prime is 102200100241. The reversal of 102200100211 is 112001002201.

It is a cyclic number.

It is not a de Polignac number, because 102200100211 - 21 = 102200100209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102200100241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295875 + ... + 540316.

It is an arithmetic number, because the mean of its divisors is an integer number (7164493056).

Almost surely, 2102200100211 is an apocalyptic number.

102200100211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102200100211 is a deficient number, since it is larger than the sum of its proper divisors (12431788685).

102200100211 is a wasteful number, since it uses less digits than its factorization.

102200100211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836514.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102200100211 its reverse (112001002201), we get a palindrome (214201102412).

The spelling of 102200100211 in words is "one hundred two billion, two hundred million, one hundred thousand, two hundred eleven".

Divisors: 1 11 41 271 451 2981 11111 122221 836191 9198101 34283831 226607761 377122141 2492685371 9290918201 102200100211