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102030205949 = 722082249101
BaseRepresentation
bin101111100000101111…
…0010110001111111101
3100202100122211111020122
41133001132112033331
53132424213042244
6114512205224325
710241255304200
oct1370136261775
9322318744218
10102030205949
113a2a8433961
12179358620a5
139810301739
144d1c93d937
1529c25b71ee
hex17c17963fd

102030205949 has 6 divisors (see below), whose sum is σ = 118688198814. Its totient is φ = 87454462200.

The previous prime is 102030205931. The next prime is 102030205951. The reversal of 102030205949 is 949502030201.

It can be written as a sum of positive squares in only one way, i.e., 78204122500 + 23826083449 = 279650^2 + 154357^2 .

It is not a de Polignac number, because 102030205949 - 224 = 102013428733 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102030205649) 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 5 ways as a sum of consecutive naturals, for example, 1041124502 + ... + 1041124599.

It is an arithmetic number, because the mean of its divisors is an integer number (19781366469).

Almost surely, 2102030205949 is an apocalyptic number.

It is an amenable number.

102030205949 is a deficient number, since it is larger than the sum of its proper divisors (16657992865).

102030205949 is an equidigital number, since it uses as much as digits as its factorization.

102030205949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082249115 (or 2082249108 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The spelling of 102030205949 in words is "one hundred two billion, thirty million, two hundred five thousand, nine hundred forty-nine".

Divisors: 1 7 49 2082249101 14575743707 102030205949