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101434041 = 3241274889
BaseRepresentation
bin1100000101111…
…00001010111001
321001212101100100
412002330022321
5201431342131
614022030013
72341114032
oct602741271
9231771310
10101434041
1152290995
1229b78309
1318026457
14d685a89
158d897e6
hex60bc2b9

101434041 has 12 divisors (see below), whose sum is σ = 150089940. Its totient is φ = 65973120.

The previous prime is 101434013. The next prime is 101434043. The reversal of 101434041 is 140434101.

It can be written as a sum of positive squares in 2 ways, for example, as 48944016 + 52490025 = 6996^2 + 7245^2 .

It is not a de Polignac number, because 101434041 - 29 = 101433529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101434043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137076 + ... + 137813.

It is an arithmetic number, because the mean of its divisors is an integer number (12507495).

Almost surely, 2101434041 is an apocalyptic number.

It is an amenable number.

101434041 is a deficient number, since it is larger than the sum of its proper divisors (48655899).

101434041 is a wasteful number, since it uses less digits than its factorization.

101434041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274936 (or 274933 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 101434041 is about 10071.4468176127. The cubic root of 101434041 is about 466.3671040612.

Adding to 101434041 its reverse (140434101), we get a palindrome (241868142).

The spelling of 101434041 in words is "one hundred one million, four hundred thirty-four thousand, forty-one".

Divisors: 1 3 9 41 123 369 274889 824667 2474001 11270449 33811347 101434041