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102200200011 = 33713231808501
BaseRepresentation
bin101111100101110011…
…0110100101101001011
3100202210111201002021000
41133023212310231023
53133301222400021
6114541120550043
710245421236540
oct1371346645513
9322714632230
10102200200011
113a385391a18
1217982782323
1398395b1140
144d37350bc7
1529d2495b26
hex17cb9b4b4b

102200200011 has 64 divisors (see below), whose sum is σ = 194450135040. Its totient is φ = 51563952000.

The previous prime is 102200200001. The next prime is 102200200049. The reversal of 102200200011 is 110002002201.

It is not a de Polignac number, because 102200200011 - 221 = 102198102859 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102200199966 and 102200200002.

It is not an unprimeable number, because it can be changed into a prime (102200200001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 847740 + ... + 960761.

It is an arithmetic number, because the mean of its divisors is an integer number (3038283360).

Almost surely, 2102200200011 is an apocalyptic number.

102200200011 is a deficient number, since it is larger than the sum of its proper divisors (92249935029).

102200200011 is a wasteful number, since it uses less digits than its factorization.

102200200011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808553 (or 1808547 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102200200011 its reverse (110002002201), we get a palindrome (212202202212).

The spelling of 102200200011 in words is "one hundred two billion, two hundred million, two hundred thousand, eleven".

Divisors: 1 3 7 9 13 21 23 27 39 63 69 91 117 161 189 207 273 299 351 483 621 819 897 1449 2093 2457 2691 4347 6279 8073 18837 56511 1808501 5425503 12659507 16276509 23510513 37978521 41595523 48829527 70531539 113935563 124786569 164573591 211594617 291168661 341806689 374359707 493720773 540741799 634783851 873505983 1123079121 1481162319 1622225397 2620517949 3785192593 4443486957 4866676191 7861553847 11355577779 14600028573 34066733337 102200200011