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101220300041 = 7261325910391
BaseRepresentation
bin101111001000100110…
…0110011010100001001
3100200021012212000012112
41132101030303110021
53124244344100131
6114255554152105
710212222232400
oct1362114632411
9320235760175
10101220300041
1139a22247633
121774a582635
139711590a83
144c83156637
15297643502b
hex1791333509

101220300041 has 24 divisors (see below), whose sum is σ = 119724569280. Its totient is φ = 85303562400.

The previous prime is 101220300029. The next prime is 101220300061. The reversal of 101220300041 is 140003022101.

It is not a de Polignac number, because 101220300041 - 222 = 101216105737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101220299989 and 101220300025.

It is not an unprimeable number, because it can be changed into a prime (101220300011) 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 23 ways as a sum of consecutive naturals, for example, 9735956 + ... + 9746346.

It is an arithmetic number, because the mean of its divisors is an integer number (4988523720).

Almost surely, 2101220300041 is an apocalyptic number.

It is an amenable number.

101220300041 is a deficient number, since it is larger than the sum of its proper divisors (18504269239).

101220300041 is a wasteful number, since it uses less digits than its factorization.

101220300041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13725 (or 13718 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 101220300041 its reverse (140003022101), we get a palindrome (241223322142).

The spelling of 101220300041 in words is "one hundred one billion, two hundred twenty million, three hundred thousand, forty-one".

Divisors: 1 7 49 61 427 2989 3259 10391 22813 72737 159691 198799 509159 633851 1391593 4436957 9741151 31058699 33864269 237049883 1659349181 2065720409 14460042863 101220300041