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101044440101 = 1110190949091
BaseRepresentation
bin101111000011010110…
…1111100110000100101
3100122210221221101201102
41132012231330300211
53123414334040401
6114230313005445
710204655366243
oct1360655746045
9318727841642
10101044440101
1139941a52440
12176bb6b3885
1396b4009437
144c67a59793
152965c9856b
hex1786b7cc25

101044440101 has 8 divisors (see below), whose sum is σ = 111321688608. Its totient is φ = 90949090000.

The previous prime is 101044440097. The next prime is 101044440103.

It is a happy number.

101044440101 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is not a de Polignac number, because 101044440101 - 22 = 101044440097 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 (101044440103) 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, 45473435 + ... + 45475656.

It is an arithmetic number, because the mean of its divisors is an integer number (13915211076).

Almost surely, 2101044440101 is an apocalyptic number.

101044440101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101044440101 is a deficient number, since it is larger than the sum of its proper divisors (10277248507).

101044440101 is a wasteful number, since it uses less digits than its factorization.

101044440101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90949203.

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 101044 and 440101, that added together give a palindrome (541145).

The spelling of 101044440101 in words is "one hundred one billion, forty-four million, four hundred forty thousand, one hundred one".

Divisors: 1 11 101 1111 90949091 1000440001 9185858191 101044440101