Search a number
-
+
1032123012029 = 19326931661587
BaseRepresentation
bin11110000010011110101…
…00110101001110111101
310122200002102112111212022
433001033110311032331
5113402241442341104
62110052322045525
7134365653564224
oct17011724651675
93580072474768
101032123012029
113687a259531a
12148047aa98a5
1376437447b75
1437d5280bcbb
151bcab950bbe
hexf04f5353bd

1032123012029 has 8 divisors (see below), whose sum is σ = 1086479161440. Its totient is φ = 977770251216.

The previous prime is 1032123011999. The next prime is 1032123012049. The reversal of 1032123012029 is 9202103212301.

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 1032123012029 - 224 = 1032106234813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1032123011989 and 1032123012007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032123012049) 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 7 ways as a sum of consecutive naturals, for example, 209627 + ... + 1451960.

It is an arithmetic number, because the mean of its divisors is an integer number (135809895180).

Almost surely, 21032123012029 is an apocalyptic number.

1032123012029 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1032123012029 is a deficient number, since it is larger than the sum of its proper divisors (54356149411).

1032123012029 is a wasteful number, since it uses less digits than its factorization.

1032123012029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694299.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 1032123012029 in words is "one trillion, thirty-two billion, one hundred twenty-three million, twelve thousand, twenty-nine".

Divisors: 1 19 32693 621167 1661587 31570153 54322263791 1032123012029