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102414034233 = 35760208133
BaseRepresentation
bin101111101100001011…
…0100010010100111001
3100210100102001222200000
41133120112202110321
53134220443043413
6115014240103213
710253625633120
oct1373026422471
9323312058600
10102414034233
113a485063815
1217a22304b09
1398719a0274
144d578d4ab7
1529e6134073
hex17d85a2539

102414034233 has 24 divisors (see below), whose sum is σ = 175326086208. Its totient is φ = 58522304304.

The previous prime is 102414034199. The next prime is 102414034237. The reversal of 102414034233 is 332430414201.

102414034233 is a `hidden beast` number, since 1 + 0 + 24 + 1 + 403 + 4 + 233 = 666.

It is not a de Polignac number, because 102414034233 - 26 = 102414034169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102414034197 and 102414034206.

It is not an unprimeable number, because it can be changed into a prime (102414034237) 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 23 ways as a sum of consecutive naturals, for example, 30102366 + ... + 30105767.

It is an arithmetic number, because the mean of its divisors is an integer number (7305253592).

Almost surely, 2102414034233 is an apocalyptic number.

It is an amenable number.

102414034233 is a deficient number, since it is larger than the sum of its proper divisors (72912051975).

102414034233 is an frugal number, since it uses more digits than its factorization.

102414034233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60208155 (or 60208143 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 102414034233 its reverse (332430414201), we get a palindrome (434844448434).

The spelling of 102414034233 in words is "one hundred two billion, four hundred fourteen million, thirty-four thousand, two hundred thirty-three".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 1701 60208133 180624399 421456931 541873197 1264370793 1625619591 3793112379 4876858773 11379337137 14630576319 34138011411 102414034233