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1327032083 = 132967107491
BaseRepresentation
bin100111100011000…
…1110011100010011
310102111001012210102
41033012032130103
510204210011313
6335402523015
744612405126
oct11706163423
93374035712
101327032083
11621090933
1231050646b
13181c110b0
14c835a3bd
157b77ea58
hex4f18e713

1327032083 has 32 divisors (see below), whose sum is σ = 1517564160. Its totient is φ = 1151821440.

The previous prime is 1327032059. The next prime is 1327032131. The reversal of 1327032083 is 3802307231.

It is a cyclic number.

It is not a de Polignac number, because 1327032083 - 216 = 1326966547 is a prime.

It is a super-2 number, since 2×13270320832 = 3522028298622637778, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1327032043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2702468 + ... + 2702958.

It is an arithmetic number, because the mean of its divisors is an integer number (47423880).

Almost surely, 21327032083 is an apocalyptic number.

1327032083 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1327032083 is a deficient number, since it is larger than the sum of its proper divisors (190532077).

1327032083 is a wasteful number, since it uses less digits than its factorization.

1327032083 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707.

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 1327032083 is about 36428.4515591865. The cubic root of 1327032083 is about 1098.9058218912.

The spelling of 1327032083 in words is "one billion, three hundred twenty-seven million, thirty-two thousand, eighty-three".

Divisors: 1 13 29 67 107 377 491 871 1391 1943 3103 6383 7169 14239 25259 32897 40339 52537 93197 185107 207901 427661 682981 954013 1523573 2702713 3519979 12402169 19806449 45759727 102079391 1327032083