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101220431041 = 4179121325763
BaseRepresentation
bin101111001000100110…
…1010011010011000001
3100200021020002122220101
41132101031103103001
53124244412243131
6114300001042401
710212223316332
oct1362115232301
9320236078811
10101220431041
1139a22326aa4
121774a626401
1397116085a2
144c8318c289
15297645dc61
hex17913534c1

101220431041 has 16 divisors (see below), whose sum is σ = 105092386560. Its totient is φ = 97417457280.

The previous prime is 101220431029. The next prime is 101220431063. The reversal of 101220431041 is 140134022101.

It is a cyclic number.

It is not a de Polignac number, because 101220431041 - 211 = 101220428993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101220411041) 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, 3916026 + ... + 3941788.

It is an arithmetic number, because the mean of its divisors is an integer number (6568274160).

Almost surely, 2101220431041 is an apocalyptic number.

It is an amenable number.

101220431041 is a deficient number, since it is larger than the sum of its proper divisors (3871955519).

101220431041 is a wasteful number, since it uses less digits than its factorization.

101220431041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27096.

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

Adding to 101220431041 its reverse (140134022101), we get a palindrome (241354453142).

The spelling of 101220431041 in words is "one hundred one billion, two hundred twenty million, four hundred thirty-one thousand, forty-one".

Divisors: 1 41 79 1213 3239 25763 49733 95827 1056283 2035277 3928907 31250519 83446357 1281271279 2468791001 101220431041