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102141267105 = 35109306720369
BaseRepresentation
bin101111100100000011…
…0000000110010100001
3100202122101210222111210
41133020012000302201
53133141131021410
6114531213500333
710244104305513
oct1371006006241
9322571728453
10102141267105
113a35509a839
1217966aa16a9
13982a318ab7
144d2d5adbb3
1529cc204220
hex17c8180ca1

102141267105 has 32 divisors (see below), whose sum is σ = 164987222400. Its totient is φ = 53955320832.

The previous prime is 102141267089. The next prime is 102141267139. The reversal of 102141267105 is 501762141201.

It is not a de Polignac number, because 102141267105 - 24 = 102141267089 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5004361 + ... + 5024729.

It is an arithmetic number, because the mean of its divisors is an integer number (5155850700).

Almost surely, 2102141267105 is an apocalyptic number.

102141267105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102141267105 is a deficient number, since it is larger than the sum of its proper divisors (62845955295).

102141267105 is a wasteful number, since it uses less digits than its factorization.

102141267105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23553.

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 102141267105 in words is "one hundred two billion, one hundred forty-one million, two hundred sixty-seven thousand, one hundred five".

Divisors: 1 3 5 15 109 327 545 1635 3067 9201 15335 20369 46005 61107 101845 305535 334303 1002909 1671515 2220221 5014545 6660663 11101105 33303315 62471723 187415169 312358615 937075845 6809417807 20428253421 34047089035 102141267105