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106042243041 = 3372155951413
BaseRepresentation
bin110001011000010011…
…1000011011111100001
3101010201021012002111000
41202300213003133201
53214133303234131
6120414245142213
710442553123300
oct1426047033741
9333637162430
10106042243041
1140a77099799
12186753ba969
139ccc578c97
1451bd708437
152b59918ce6
hex18b09c37e1

106042243041 has 48 divisors (see below), whose sum is σ = 182869315200. Its totient is φ = 60555521376.

The previous prime is 106042243037. The next prime is 106042243063. The reversal of 106042243041 is 140342240601.

It is a happy number.

106042243041 is a `hidden beast` number, since 1 + 0 + 604 + 2 + 24 + 30 + 4 + 1 = 666.

It is not a de Polignac number, because 106042243041 - 22 = 106042243037 is a prime.

It is a super-2 number, since 2×1060422430412 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 106042242996 and 106042243014.

It is not an unprimeable number, because it can be changed into a prime (106042243081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2036851 + ... + 2088263.

It is an arithmetic number, because the mean of its divisors is an integer number (3809777400).

Almost surely, 2106042243041 is an apocalyptic number.

It is an amenable number.

106042243041 is a deficient number, since it is larger than the sum of its proper divisors (76827072159).

106042243041 is a wasteful number, since it uses less digits than its factorization.

106042243041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52995 (or 52982 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 106042243041 its reverse (140342240601), we get a palindrome (246384483642).

The spelling of 106042243041 in words is "one hundred six billion, forty-two million, two hundred forty-three thousand, forty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 1559 4677 10913 14031 32739 42093 51413 76391 98217 154239 229173 294651 359891 462717 687519 1079673 1388151 2062557 2519237 3239019 7557711 9717057 22673133 68019399 80152867 240458601 561070069 721375803 1683210207 2164127409 3927490483 5049630621 11782471449 15148891863 35347414347 106042243041