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12145410100201 = 72257179638197
BaseRepresentation
bin1011000010111101001011…
…0110101100101111101001
31121000002102111211112211011
42300233102312230233221
53042442244441201301
641455305133103521
72362322404325500
oct260572266545751
947002374745734
1012145410100201
11396292640a334
121441a41327ba1
136a13cc07a0b1
142ddbab941837
15160de3aa4a51
hexb0bd2dacbe9

12145410100201 has 12 divisors (see below), whose sum is σ = 14128885041348. Its totient is φ = 10409945630112.

The previous prime is 12145410100181. The next prime is 12145410100207. The reversal of 12145410100201 is 10200101454121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2608060272601 + 9537349827600 = 1614949^2 + 3088260^2 .

It is not a de Polignac number, because 12145410100201 - 213 = 12145410092009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12145410100207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3558966 + ... + 6079231.

It is an arithmetic number, because the mean of its divisors is an integer number (1177407086779).

Almost surely, 212145410100201 is an apocalyptic number.

It is an amenable number.

12145410100201 is a deficient number, since it is larger than the sum of its proper divisors (1983474941147).

12145410100201 is an equidigital number, since it uses as much as digits as its factorization.

12145410100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9663928 (or 9663921 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

Adding to 12145410100201 its reverse (10200101454121), we get a palindrome (22345511554322).

The spelling of 12145410100201 in words is "twelve trillion, one hundred forty-five billion, four hundred ten million, one hundred thousand, two hundred one".

Divisors: 1 7 49 25717 180019 1260133 9638197 67467379 472271653 247865512249 1735058585743 12145410100201