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9903157478331 = 3131913364584991
BaseRepresentation
bin1001000000011100001000…
…1011110000001110111011
31022001201210001221102120120
42100013002023300032323
52244223131303301311
633021240413424323
72041323321446055
oct220070213601673
938051701842516
109903157478331
1131789a6249147
12113b36b49b0a3
1356ab2c84a070
1426345b5888d5
1512290d007706
hex901c22f03bb

9903157478331 has 16 divisors (see below), whose sum is σ = 14968335191040. Its totient is φ = 5773500715680.

The previous prime is 9903157478323. The next prime is 9903157478339. The reversal of 9903157478331 is 1338747513099.

It is an interprime number because it is at equal distance from previous prime (9903157478323) and next prime (9903157478339).

It is not a de Polignac number, because 9903157478331 - 23 = 9903157478323 is a prime.

It is a super-3 number, since 3×99031574783313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (9903157478339) 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 15 ways as a sum of consecutive naturals, for example, 6682291755 + ... + 6682293236.

It is an arithmetic number, because the mean of its divisors is an integer number (935520949440).

Almost surely, 29903157478331 is an apocalyptic number.

9903157478331 is a deficient number, since it is larger than the sum of its proper divisors (5065177712709).

9903157478331 is a wasteful number, since it uses less digits than its factorization.

9903157478331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13364585026.

The product of its (nonzero) digits is 17146080, while the sum is 60.

The spelling of 9903157478331 in words is "nine trillion, nine hundred three billion, one hundred fifty-seven million, four hundred seventy-eight thousand, three hundred thirty-one".

Divisors: 1 3 13 19 39 57 247 741 13364584991 40093754973 173739604883 253927114829 521218814649 761781344487 3301052492777 9903157478331