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1132584201 = 3471997503
BaseRepresentation
bin100001110000001…
…1101110100001001
32220221011020110000
41003200131310021
54304420143301
6304215113213
740031543520
oct10340356411
92827136400
101132584201
11531350301
12277372809
1315084bc88
14aa5c14b7
1569670786
hex4381dd09

1132584201 has 20 divisors (see below), whose sum is σ = 1933583872. Its totient is φ = 647190648.

The previous prime is 1132584179. The next prime is 1132584253. The reversal of 1132584201 is 1024852311.

It is not a de Polignac number, because 1132584201 - 25 = 1132584169 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1132584301) 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 19 ways as a sum of consecutive naturals, for example, 998185 + ... + 999318.

Almost surely, 21132584201 is an apocalyptic number.

It is an amenable number.

1132584201 is a deficient number, since it is larger than the sum of its proper divisors (800999671).

1132584201 is an equidigital number, since it uses as much as digits as its factorization.

1132584201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997522 (or 1997513 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1132584201 is about 33653.8883488966. Note that the first 3 decimals coincide. The cubic root of 1132584201 is about 1042.3738308051.

The spelling of 1132584201 in words is "one billion, one hundred thirty-two million, five hundred eighty-four thousand, two hundred one".

Divisors: 1 3 7 9 21 27 63 81 189 567 1997503 5992509 13982521 17977527 41947563 53932581 125842689 161797743 377528067 1132584201