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102042243225 = 32521334886237
BaseRepresentation
bin101111100001000110…
…0010001000010011001
3100202101111111001021200
41133002030101002121
53132440303240400
6114513315224413
710241462520246
oct1370214210231
9322344431250
10102042243225
113a30420571a
12179398a8109
1398129576a0
144d203945cd
1529c3693b00
hex17c2311099

102042243225 has 36 divisors (see below), whose sum is σ = 196828154796. Its totient is φ = 50236179840.

The previous prime is 102042243223. The next prime is 102042243227. The reversal of 102042243225 is 522342240201.

102042243225 is a `hidden beast` number, since 1 + 0 + 204 + 2 + 2 + 432 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (102042243223) and next prime (102042243227).

It can be written as a sum of positive squares in 6 ways, for example, as 6576074649 + 95466168576 = 81093^2 + 308976^2 .

It is not a de Polignac number, because 102042243225 - 21 = 102042243223 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102042243223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17440194 + ... + 17446043.

Almost surely, 2102042243225 is an apocalyptic number.

102042243225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102042243225 is a deficient number, since it is larger than the sum of its proper divisors (94785911571).

102042243225 is a wasteful number, since it uses less digits than its factorization.

102042243225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34886266 (or 34886258 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 102042243225 its reverse (522342240201), we get a palindrome (624384483426).

The spelling of 102042243225 in words is "one hundred two billion, forty-two million, two hundred forty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 975 2925 34886237 104658711 174431185 313976133 453521081 523293555 872155925 1360563243 1569880665 2267605405 2616467775 4081689729 6802816215 7849403325 11338027025 20408448645 34014081075 102042243225