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101042441 = 1746112893
BaseRepresentation
bin1100000010111…
…00100100001001
321001010111011122
412001130210021
5201331324231
614005405025
72334563243
oct601344411
9231114148
10101042441
1152043755
1229a09775
1317c1a136
14d5c3093
158d0d77b
hex605c909

101042441 has 8 divisors (see below), whose sum is σ = 107226504. Its totient is φ = 94885120.

The previous prime is 101042429. The next prime is 101042471. The reversal of 101042441 is 144240101.

It can be written as a sum of positive squares in 4 ways, for example, as 23232400 + 77810041 = 4820^2 + 8821^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101042441 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 not an unprimeable number, because it can be changed into a prime (101042411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1391 + ... + 14283.

It is an arithmetic number, because the mean of its divisors is an integer number (13403313).

Almost surely, 2101042441 is an apocalyptic number.

It is an amenable number.

101042441 is a deficient number, since it is larger than the sum of its proper divisors (6184063).

101042441 is a wasteful number, since it uses less digits than its factorization.

101042441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13371.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 101042441 is about 10051.9869180178. The cubic root of 101042441 is about 465.7661720552.

Adding to 101042441 its reverse (144240101), we get a palindrome (245282542).

The spelling of 101042441 in words is "one hundred one million, forty-two thousand, four hundred forty-one".

Divisors: 1 17 461 7837 12893 219181 5943673 101042441