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102200030101 = 1329416611893
BaseRepresentation
bin101111100101110011…
…0001011001110010101
3100202210111101110012001
41133023212023032111
53133301201430401
6114541113155301
710245416631301
oct1371346131625
9322714343161
10102200030101
113a3852862a4
12179826bbb31
1398395519c0
144d37308d01
1529d2460601
hex17cb98b395

102200030101 has 16 divisors (see below), whose sum is σ = 116633810160. Its totient is φ = 88863828480.

The previous prime is 102200030071. The next prime is 102200030111. The reversal of 102200030101 is 101030002201.

It can be written as a sum of positive squares in 8 ways, for example, as 25240947876 + 76959082225 = 158874^2 + 277415^2 .

It is a cyclic number.

It is not a de Polignac number, because 102200030101 - 211 = 102200028053 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 (102200030111) 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, 3290490 + ... + 3321403.

It is an arithmetic number, because the mean of its divisors is an integer number (7289613135).

Almost surely, 2102200030101 is an apocalyptic number.

It is an amenable number.

102200030101 is a deficient number, since it is larger than the sum of its proper divisors (14433780059).

102200030101 is a wasteful number, since it uses less digits than its factorization.

102200030101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6611976.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 102200030101 its reverse (101030002201), we get a palindrome (203230032302).

The spelling of 102200030101 in words is "one hundred two billion, two hundred million, thirty thousand, one hundred one".

Divisors: 1 13 29 41 377 533 1189 15457 6611893 85954609 191744897 271087613 2492683661 3524138969 7861540777 102200030101