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100031340201 = 31319134995061
BaseRepresentation
bin101110100101001010…
…1010001111010101001
3100120012100121120220220
41131022111101322221
53114331010341301
6113542002440253
710140604235232
oct1351225217251
9316170546826
10100031340201
11394720a14a1
1217478363089
139582163740
144bad29c089
152906d7a936
hex174a551ea9

100031340201 has 16 divisors (see below), whose sum is σ = 151194469440. Its totient is φ = 58317865920.

The previous prime is 100031340179. The next prime is 100031340217. The reversal of 100031340201 is 102043130001.

It is not a de Polignac number, because 100031340201 - 217 = 100031209129 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100031340221) 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, 67496790 + ... + 67498271.

It is an arithmetic number, because the mean of its divisors is an integer number (9449654340).

Almost surely, 2100031340201 is an apocalyptic number.

It is an amenable number.

100031340201 is a deficient number, since it is larger than the sum of its proper divisors (51163129239).

100031340201 is a wasteful number, since it uses less digits than its factorization.

100031340201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134995096.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100031340201 its reverse (102043130001), we get a palindrome (202074470202).

The spelling of 100031340201 in words is "one hundred billion, thirty-one million, three hundred forty thousand, two hundred one".

Divisors: 1 3 13 19 39 57 247 741 134995061 404985183 1754935793 2564906159 5264807379 7694718477 33343780067 100031340201