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32021122113 = 323110110631069
BaseRepresentation
bin11101110100100110…
…111000110001000001
310001122121101112200200
4131310212320301001
51011034401401423
622413231435413
72212341022101
oct356446706101
9101577345620
1032021122113
11126420a7a92
126257985b69
133034026546
14179aa41201
15c762aed43
hex7749b8c41

32021122113 has 48 divisors (see below), whose sum is σ = 48307983360. Its totient is φ = 20415888000.

The previous prime is 32021122109. The next prime is 32021122247. The reversal of 32021122113 is 31122112023.

32021122113 is a `hidden beast` number, since 320 + 211 + 22 + 113 = 666.

It is not a de Polignac number, because 32021122113 - 22 = 32021122109 is a prime.

It is a super-2 number, since 2×320211221132 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32021122103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29953743 + ... + 29954811.

It is an arithmetic number, because the mean of its divisors is an integer number (1006416320).

Almost surely, 232021122113 is an apocalyptic number.

It is an amenable number.

32021122113 is a deficient number, since it is larger than the sum of its proper divisors (16286861247).

32021122113 is a wasteful number, since it uses less digits than its factorization.

32021122113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 32021122113 its reverse (31122112023), we get a palindrome (63143234136).

The spelling of 32021122113 in words is "thirty-two billion, twenty-one million, one hundred twenty-two thousand, one hundred thirteen".

Divisors: 1 3 9 31 93 101 279 303 909 1063 1069 3131 3189 3207 9393 9567 9621 28179 32953 33139 98859 99417 107363 107969 296577 298251 322089 323907 966267 971721 1136347 3328253 3347039 3409041 9984759 10041117 10227123 29954277 30123351 35226757 105680271 114771047 317040813 344313141 1032939423 3557902457 10673707371 32021122113