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10100300041 = 132194576883
BaseRepresentation
bin10010110100000011…
…00101100100001001
3222001220111101220201
421122001211210021
5131141134100131
64350124252201
7505203063616
oct113201454411
928056441821
1010100300041
1143133a0a07
121b5a6a1061
13c4c707700
146bb5d150d
153e1ac1761
hex25a065909

10100300041 has 24 divisors (see below), whose sum is σ = 11539511520. Its totient is φ = 8812043136.

The previous prime is 10100300033. The next prime is 10100300069. The reversal of 10100300041 is 14000300101.

It is a happy number.

It is not a de Polignac number, because 10100300041 - 23 = 10100300033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100300011) 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 23 ways as a sum of consecutive naturals, for example, 1463986 + ... + 1470868.

It is an arithmetic number, because the mean of its divisors is an integer number (480812980).

Almost surely, 210100300041 is an apocalyptic number.

It is an amenable number.

10100300041 is a deficient number, since it is larger than the sum of its proper divisors (1439211479).

10100300041 is a wasteful number, since it uses less digits than its factorization.

10100300041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7385 (or 7372 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10100300041 its reverse (14000300101), we get a palindrome (24100600142).

The spelling of 10100300041 in words is "ten billion, one hundred million, three hundred thousand, forty-one".

Divisors: 1 13 19 169 247 457 3211 5941 6883 8683 77233 89479 112879 130777 1163227 1467427 1700101 3145531 22101313 40891903 59765089 531594739 776946157 10100300041