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93003340101 = 3726011105253
BaseRepresentation
bin101011010011101101…
…1100101100101000101
322220001120012012012220
41112213123211211011
53010432323340401
6110420344202553
76501465230100
oct1264733454505
9286046165186
1093003340101
1136495a62a51
1216036769459
138a02105bb9
144703b33737
152644d80336
hex15a76e5945

93003340101 has 24 divisors (see below), whose sum is σ = 144275446944. Its totient is φ = 53135419680.

The previous prime is 93003340097. The next prime is 93003340117. The reversal of 93003340101 is 10104330039.

It is not a de Polignac number, because 93003340101 - 22 = 93003340097 is a prime.

It is a super-3 number, since 3×930033401013 (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93003340301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 830991 + ... + 936243.

It is an arithmetic number, because the mean of its divisors is an integer number (6011476956).

Almost surely, 293003340101 is an apocalyptic number.

It is an amenable number.

93003340101 is a deficient number, since it is larger than the sum of its proper divisors (51272106843).

93003340101 is a wasteful number, since it uses less digits than its factorization.

93003340101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111281 (or 111274 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The spelling of 93003340101 in words is "ninety-three billion, three million, three hundred forty thousand, one hundred one".

Divisors: 1 3 7 21 49 147 6011 18033 42077 105253 126231 294539 315759 736771 883617 2210313 5157397 15472191 632675783 1898027349 4428730481 13286191443 31001113367 93003340101