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101327083 = 11131674243
BaseRepresentation
bin1100000101000…
…10000011101011
321001122221121221
412002202003223
5201414431313
614015442511
72340160144
oct602420353
9231587557
10101327083
11522185a0
1229b26437
1317cb9870
14d658acb
158d67c8d
hex60a20eb

101327083 has 16 divisors (see below), whose sum is σ = 119782656. Its totient is φ = 84500640.

The previous prime is 101327081. The next prime is 101327099. The reversal of 101327083 is 380723101.

It is a cyclic number.

It is not a de Polignac number, because 101327083 - 21 = 101327081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101327081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21760 + ... + 26002.

It is an arithmetic number, because the mean of its divisors is an integer number (7486416).

Almost surely, 2101327083 is an apocalyptic number.

101327083 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101327083 is a deficient number, since it is larger than the sum of its proper divisors (18455573).

101327083 is a wasteful number, since it uses less digits than its factorization.

101327083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4434.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 101327083 is about 10066.1354550791. The cubic root of 101327083 is about 466.2031248052.

It can be divided in two parts, 101 and 327083, that added together give a square (327184 = 5722).

The spelling of 101327083 in words is "one hundred one million, three hundred twenty-seven thousand, eighty-three".

Divisors: 1 11 13 143 167 1837 2171 4243 23881 46673 55159 606749 708581 7794391 9211553 101327083