Search a number
-
+
101430344001 = 37291131714717
BaseRepresentation
bin101111001110110111…
…0000011100101000001
3100200210212002100100110
41132131232003211001
53130212132002001
6114332500141533
710220352461430
oct1363556034501
9320725070313
10101430344001
113a01a86a788
12177a89978a9
139745c5393c
144ca2dd1117
152989ac53d6
hex179db83941

101430344001 has 32 divisors (see below), whose sum is σ = 159915191040. Its totient is φ = 55952822016.

The previous prime is 101430343969. The next prime is 101430344003. The reversal of 101430344001 is 100443034101.

It is not a de Polignac number, because 101430344001 - 25 = 101430343969 is a prime.

It is a super-2 number, since 2×1014303440012 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (101430344003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6884695 + ... + 6899411.

It is an arithmetic number, because the mean of its divisors is an integer number (4997349720).

Almost surely, 2101430344001 is an apocalyptic number.

It is an amenable number.

101430344001 is a deficient number, since it is larger than the sum of its proper divisors (58484847039).

101430344001 is a wasteful number, since it uses less digits than its factorization.

101430344001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26073.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 101430344001 its reverse (100443034101), we get a palindrome (201873378102).

The spelling of 101430344001 in words is "one hundred one billion, four hundred thirty million, three hundred forty-four thousand, one".

Divisors: 1 3 7 21 29 87 203 609 11317 14717 33951 44151 79219 103019 237657 309057 328193 426793 984579 1280379 2297351 2987551 6892053 8962653 166552289 499656867 1165866023 3497598069 4830016381 14490049143 33810114667 101430344001