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102205314088 = 23109117207929
BaseRepresentation
bin101111100101111101…
…0010101010000101000
3100202210212022220110021
41133023322111100220
53133304030022323
6114541422330224
710245512556433
oct1371372252050
9322725286407
10102205314088
113a388265229
1217984429974
13983a681b17
144d37cc281a
1529d2b5605d
hex17cbe95428

102205314088 has 16 divisors (see below), whose sum is σ = 193393084500. Its totient is φ = 50633824896.

The previous prime is 102205313993. The next prime is 102205314089. The reversal of 102205314088 is 880413502201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 97280362404 + 4924951684 = 311898^2 + 70178^2 .

It is not an unprimeable number, because it can be changed into a prime (102205314089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58603093 + ... + 58604836.

Almost surely, 2102205314088 is an apocalyptic number.

It is an amenable number.

102205314088 is a deficient number, since it is larger than the sum of its proper divisors (91187770412).

102205314088 is a wasteful number, since it uses less digits than its factorization.

102205314088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117208044 (or 117208040 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

Adding to 102205314088 its reverse (880413502201), we get a palindrome (982618816289).

The spelling of 102205314088 in words is "one hundred two billion, two hundred five million, three hundred fourteen thousand, eighty-eight".

Divisors: 1 2 4 8 109 218 436 872 117207929 234415858 468831716 937663432 12775664261 25551328522 51102657044 102205314088