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2172132117 = 321919076661
BaseRepresentation
bin1000000101111000…
…0001101100010101
312121101020202002200
42001132001230111
513422031211432
6555312155113
7104553550461
oct20136015425
95541222080
102172132117
11a15126011
12507538a99
13288024c9c
141686a54a1
15caa64a7c
hex81781b15

2172132117 has 24 divisors (see below), whose sum is σ = 3304884960. Its totient is φ = 1370947680.

The previous prime is 2172132113. The next prime is 2172132139. The reversal of 2172132117 is 7112312712.

It is not a de Polignac number, because 2172132117 - 22 = 2172132113 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2172132113) 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 23 ways as a sum of consecutive naturals, for example, 322767 + ... + 329427.

It is an arithmetic number, because the mean of its divisors is an integer number (137703540).

Almost surely, 22172132117 is an apocalyptic number.

It is an amenable number.

2172132117 is a deficient number, since it is larger than the sum of its proper divisors (1132752843).

2172132117 is a wasteful number, since it uses less digits than its factorization.

2172132117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8593 (or 8590 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 2172132117 is about 46606.1381901569. The cubic root of 2172132117 is about 1295.0764686041.

Adding to 2172132117 its reverse (7112312712), we get a palindrome (9284444829).

The spelling of 2172132117 in words is "two billion, one hundred seventy-two million, one hundred thirty-two thousand, one hundred seventeen".

Divisors: 1 3 9 19 57 171 1907 5721 6661 17163 19983 36233 59949 108699 126559 326097 379677 1139031 12702527 38107581 114322743 241348013 724044039 2172132117