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102328083 = 331113171559
BaseRepresentation
bin1100001100101…
…10011100010011
321010112210202000
412012112130103
5202143444313
614053125043
72351526414
oct606263423
9233483660
10102328083
1152841670
122a329783
131827a380
14d83980b
158eb4673
hex6196713

102328083 has 64 divisors (see below), whose sum is σ = 188697600. Its totient is φ = 53844480.

The previous prime is 102328073. The next prime is 102328097. The reversal of 102328083 is 380823201.

It is not a de Polignac number, because 102328083 - 24 = 102328067 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (102328013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64858 + ... + 66416.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2102328083 is an apocalyptic number.

102328083 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

102328083 is a deficient number, since it is larger than the sum of its proper divisors (86369517).

102328083 is a wasteful number, since it uses less digits than its factorization.

102328083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 102328083 is about 10115.7344271190. The cubic root of 102328083 is about 467.7332882016.

The spelling of 102328083 in words is "one hundred two million, three hundred twenty-eight thousand, eighty-three".

Divisors: 1 3 9 11 13 17 27 33 39 51 99 117 143 153 187 221 297 351 429 459 561 663 1287 1559 1683 1989 2431 3861 4677 5049 5967 7293 14031 17149 20267 21879 26503 42093 51447 60801 65637 79509 154341 182403 222937 238527 291533 344539 463023 547209 668811 715581 874599 1033617 2006433 2623797 3100851 3789929 6019299 7871391 9302553 11369787 34109361 102328083