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1032140412301 = 19722723080579
BaseRepresentation
bin11110000010100000101…
…11001101010110001101
310122200010122021112112211
433001100113031112031
5113402310421143201
62110054143030421
7134366254514665
oct17012027152615
93580118245484
101032140412301
1136880139a409
1214805189b411
137643ac2ab9b
1437d54c5b1a5
151bcad23b651
hexf0505cd58d

1032140412301 has 8 divisors (see below), whose sum is σ = 1041949703520. Its totient is φ = 1022377283088.

The previous prime is 1032140412299. The next prime is 1032140412353.

1032140412301 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1032140412301 - 21 = 1032140412299 is a prime.

It is a super-2 number, since 2×10321404123012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032140415301) 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 7 ways as a sum of consecutive naturals, for example, 11495571 + ... + 11585008.

It is an arithmetic number, because the mean of its divisors is an integer number (130243712940).

Almost surely, 21032140412301 is an apocalyptic number.

It is an amenable number.

1032140412301 is a deficient number, since it is larger than the sum of its proper divisors (9809291219).

1032140412301 is a wasteful number, since it uses less digits than its factorization.

1032140412301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23081003.

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 1032140 and 412301, that added together give a palindrome (1444441).

The spelling of 1032140412301 in words is "one trillion, thirty-two billion, one hundred forty million, four hundred twelve thousand, three hundred one".

Divisors: 1 197 227 44719 23080579 4546874063 5239291433 1032140412301