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331122012129973 is a prime number
BaseRepresentation
bin100101101001001110101100…
…1111010010000101010110101
31121102101221210100102011202001
41023102131121322100222311
5321400100340101124343
63132123204041215301
7126513530066003011
oct11322353172205265
91542357710364661
10331122012129973
1196562069572619
12311797b7a91531
131129b896b2a4bc
145baa5688a7541
15284339b81144d
hex12d2759e90ab5

331122012129973 has 2 divisors, whose sum is σ = 331122012129974. Its totient is φ = 331122012129972.

The previous prime is 331122012129971. The next prime is 331122012130057. The reversal of 331122012129973 is 379921210221133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 235070898608484 + 96051113521489 = 15332022^2 + 9800567^2 .

It is a cyclic number.

It is not a de Polignac number, because 331122012129973 - 21 = 331122012129971 is a prime.

Together with 331122012129971, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331122012129971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165561006064986 + 165561006064987.

It is an arithmetic number, because the mean of its divisors is an integer number (165561006064987).

Almost surely, 2331122012129973 is an apocalyptic number.

It is an amenable number.

331122012129973 is a deficient number, since it is larger than the sum of its proper divisors (1).

331122012129973 is an equidigital number, since it uses as much as digits as its factorization.

331122012129973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 244944, while the sum is 46.

The spelling of 331122012129973 in words is "three hundred thirty-one trillion, one hundred twenty-two billion, twelve million, one hundred twenty-nine thousand, nine hundred seventy-three".