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102133210113 = 321117494312277
BaseRepresentation
bin101111100011110011…
…1010001110000000001
3100202121211122122101200
41133013213101300001
53133132100210423
6114530325051413
710243645650654
oct1370747216001
9322554578350
10102133210113
113a350597470
1217964256b69
13982875774c
144d2c4b389b
1529cb661d43
hex17c79d1c01

102133210113 has 48 divisors (see below), whose sum is σ = 170452429056. Its totient is φ = 58241272320.

The previous prime is 102133210103. The next prime is 102133210117. The reversal of 102133210113 is 311012331201.

It is not a de Polignac number, because 102133210113 - 212 = 102133206017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102133210117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8312931 + ... + 8325207.

It is an arithmetic number, because the mean of its divisors is an integer number (3551092272).

Almost surely, 2102133210113 is an apocalyptic number.

It is an amenable number.

102133210113 is a deficient number, since it is larger than the sum of its proper divisors (68319218943).

102133210113 is a wasteful number, since it uses less digits than its factorization.

102133210113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17254 (or 17251 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102133210113 its reverse (311012331201), we get a palindrome (413145541314).

The spelling of 102133210113 in words is "one hundred two billion, one hundred thirty-three million, two hundred ten thousand, one hundred thirteen".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 4943 12277 14829 36831 44487 54373 84031 110493 135047 163119 208709 252093 405141 489357 626127 756279 924341 1215423 1878381 2295799 2773023 6887397 8319069 20662191 60685211 182055633 546166899 667537321 1031648587 2002611963 3094945761 6007835889 9284837283 11348134457 34044403371 102133210113