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3132112112313 = 371101211711231
BaseRepresentation
bin101101100101000000011…
…011100000101010111001
3102002102112021111221110220
4231211000123200222321
5402304031200043223
610354512240330253
7442200441453222
oct55450033405271
912072467457426
103132112112313
11aa83596a7078
12427036013989
13199484173722
14ab848ac2249
1556717c136e3
hex2d9406e0ab9

3132112112313 has 48 divisors (see below), whose sum is σ = 4284444358656. Its totient is φ = 2034887400000.

The previous prime is 3132112112291. The next prime is 3132112112317.

3132112112313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3132112112313 - 25 = 3132112112281 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3132112112317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2544363408 + ... + 2544364638.

It is an arithmetic number, because the mean of its divisors is an integer number (89259257472).

Almost surely, 23132112112313 is an apocalyptic number.

It is an amenable number.

3132112112313 is a deficient number, since it is larger than the sum of its proper divisors (1152332246343).

3132112112313 is a wasteful number, since it uses less digits than its factorization.

3132112112313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2577 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The spelling of 3132112112313 in words is "three trillion, one hundred thirty-two billion, one hundred twelve million, one hundred twelve thousand, three hundred thirteen".

Divisors: 1 3 71 101 213 303 1171 1231 3513 3693 7171 10201 21513 30603 83141 87401 118271 124331 249423 262203 354813 372993 724271 1441501 2172813 4324503 8397241 8827501 11945371 12557431 25191723 26482503 35836113 37672293 102346571 145591601 307039713 436774803 848121341 891577601 2544364023 2674732803 10337003671 14704751701 31011011013 44114255103 1044037370771 3132112112313