Search a number
-
+
10301430405513 = 3131867141477901
BaseRepresentation
bin1001010111100111110100…
…0110011001100110001001
31100110210210101201102001110
42111321331012121212021
52322234312140434023
633524224540440533
72112153022460262
oct225717506314611
940423711642043
1010301430405513
1133118a29a7135
1211a45a0249149
13599561420310
14278840219969
1512ce6cea0a93
hex95e7d199989

10301430405513 has 16 divisors (see below), whose sum is σ = 14799720372416. Its totient is φ = 6335946273600.

The previous prime is 10301430405493. The next prime is 10301430405613. The reversal of 10301430405513 is 31550403410301.

It is not a de Polignac number, because 10301430405513 - 217 = 10301430274441 is a prime.

It is a super-2 number, since 2×103014304055132 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10301430405113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70666138 + ... + 70811763.

It is an arithmetic number, because the mean of its divisors is an integer number (924982523276).

Almost surely, 210301430405513 is an apocalyptic number.

10301430405513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10301430405513 is a deficient number, since it is larger than the sum of its proper divisors (4498289966903).

10301430405513 is a wasteful number, since it uses less digits than its factorization.

10301430405513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141479784.

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 10301430405513 its reverse (31550403410301), we get a palindrome (41851833815814).

The spelling of 10301430405513 in words is "ten trillion, three hundred one billion, four hundred thirty million, four hundred five thousand, five hundred thirteen".

Divisors: 1 3 13 39 1867 5601 24271 72813 141477901 424433703 1839212713 5517638139 264139241167 792417723501 3433810135171 10301430405513