Search a number
-
+
1010241444121 = 721310037158009
BaseRepresentation
bin11101011001101110001…
…01010001100100011001
310120120121110111200200021
432230313011101210121
5113022433302202441
62052033140110441
7132662503406500
oct16546705214431
93516543450607
101010241444121
1135a493a5a4a8
1214395b995421
137435acc1250
1436c78699837
151b42a9183d1
hexeb37151919

1010241444121 has 24 divisors (see below), whose sum is σ = 1265711295240. Its totient is φ = 799227217152.

The previous prime is 1010241444073. The next prime is 1010241444131. The reversal of 1010241444121 is 1214441420101.

1010241444121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 195439147225 + 814802296896 = 442085^2 + 902664^2 .

It is not a de Polignac number, because 1010241444121 - 29 = 1010241443609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010241444131) 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, 6314565 + ... + 6472573.

It is an arithmetic number, because the mean of its divisors is an integer number (52737970635).

Almost surely, 21010241444121 is an apocalyptic number.

It is an amenable number.

1010241444121 is a deficient number, since it is larger than the sum of its proper divisors (255469851119).

1010241444121 is a wasteful number, since it uses less digits than its factorization.

1010241444121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168073 (or 168066 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 1010241444121 its reverse (1214441420101), we get a palindrome (2224682864222).

The spelling of 1010241444121 in words is "one trillion, ten billion, two hundred forty-one million, four hundred forty-four thousand, one hundred twenty-one".

Divisors: 1 7 13 49 91 637 10037 70259 130481 158009 491813 913367 1106063 2054117 6393569 7742441 14378819 100651733 1585936333 11101554331 20617172329 77710880317 144320206303 1010241444121