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100051340201 = 172346198409
BaseRepresentation
bin101110100101110000…
…1100100101110101001
3100120020202020200202122
41131023201210232221
53114401120341301
6113543555241025
710141236234251
oct1351341445651
9316222220678
10100051340201
113948241181a
1217482ba9175
139586346b67
144bb1bc6961
1529089cb81b
hex174b864ba9

100051340201 has 6 divisors (see below), whose sum is σ = 106282911870. Its totient is φ = 94165966976.

The previous prime is 100051340183. The next prime is 100051340237. The reversal of 100051340201 is 102043150001.

It can be written as a sum of positive squares in 3 ways, for example, as 30397573801 + 69653766400 = 174349^2 + 263920^2 .

It is a de Polignac number, because none of the positive numbers 2k-100051340201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100051340201.

It is not an unprimeable number, because it can be changed into a prime (100051340251) 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 5 ways as a sum of consecutive naturals, for example, 173098916 + ... + 173099493.

It is an arithmetic number, because the mean of its divisors is an integer number (17713818645).

Almost surely, 2100051340201 is an apocalyptic number.

It is an amenable number.

100051340201 is a deficient number, since it is larger than the sum of its proper divisors (6231571669).

100051340201 is an equidigital number, since it uses as much as digits as its factorization.

100051340201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346198443 (or 346198426 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 100051340201 its reverse (102043150001), we get a palindrome (202094490202).

The spelling of 100051340201 in words is "one hundred billion, fifty-one million, three hundred forty thousand, two hundred one".

Divisors: 1 17 289 346198409 5885372953 100051340201