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10144455101 = 1117269201667
BaseRepresentation
bin10010111001010100…
…00001100110111101
3222011222120201021022
421130222001212331
5131233440030401
64354342513525
7506250305564
oct113452014675
928158521238
1010144455101
11433630a2a0
121b714358a5
13c588c7571
146c3406bdb
153e58e471b
hex25ca819bd

10144455101 has 16 divisors (see below), whose sum is σ = 11761277760. Its totient is φ = 8647438080.

The previous prime is 10144455077. The next prime is 10144455163. The reversal of 10144455101 is 10155444101.

10144455101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10144455101 - 210 = 10144454077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144455901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50531 + ... + 151136.

It is an arithmetic number, because the mean of its divisors is an integer number (735079860).

Almost surely, 210144455101 is an apocalyptic number.

10144455101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10144455101 is a deficient number, since it is larger than the sum of its proper divisors (1616822659).

10144455101 is a wasteful number, since it uses less digits than its factorization.

10144455101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201964.

The product of its (nonzero) digits is 1600, while the sum is 26.

Adding to 10144455101 its reverse (10155444101), we get a palindrome (20299899202).

The spelling of 10144455101 in words is "ten billion, one hundred forty-four million, four hundred fifty-five thousand, one hundred one".

Divisors: 1 11 17 187 269 2959 4573 50303 201667 2218337 3428339 37711729 54248423 596732653 922223191 10144455101