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101220134041 = 13103323833163
BaseRepresentation
bin101111001000100110…
…0001010110010011001
3100200021012112120111101
41132101030022302121
53124244323242131
6114255550431401
710212220641415
oct1362114126231
9320235476441
10101220134041
1139a22143944
121774a502561
139711533350
144c83111d45
152976400c61
hex179130ac99

101220134041 has 16 divisors (see below), whose sum is σ = 109192120576. Its totient is φ = 93274851456.

The previous prime is 101220134033. The next prime is 101220134117. The reversal of 101220134041 is 140431022101.

It is a cyclic number.

It is not a de Polignac number, because 101220134041 - 23 = 101220134033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101220134341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31999726 + ... + 32002888.

It is an arithmetic number, because the mean of its divisors is an integer number (6824507536).

Almost surely, 2101220134041 is an apocalyptic number.

It is an amenable number.

101220134041 is a deficient number, since it is larger than the sum of its proper divisors (7971986535).

101220134041 is a wasteful number, since it uses less digits than its factorization.

101220134041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6592.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 101220134041 its reverse (140431022101), we get a palindrome (241651156142).

The spelling of 101220134041 in words is "one hundred one billion, two hundred twenty million, one hundred thirty-four thousand, forty-one".

Divisors: 1 13 1033 2383 3163 13429 30979 41119 2461639 3267379 7537429 32001307 42475927 97986577 7786164157 101220134041