Search a number
-
+
1001033342132 = 22298629597777
BaseRepresentation
bin11101001000100100011…
…11001001110010110100
310112200211201211122101212
432210102033021302310
5112400104013422012
62043511322340552
7132215353005215
oct16442217116264
93480751748355
101001033342132
1135659925215a
1214201005a758
13735213aaca5
143664379340c
151b08c331b22
hexe9123c9cb4

1001033342132 has 12 divisors (see below), whose sum is σ = 1812215533380. Its totient is φ = 483257475456.

The previous prime is 1001033342119. The next prime is 1001033342137. The reversal of 1001033342132 is 2312433301001.

It can be written as a sum of positive squares in 2 ways, for example, as 606694556836 + 394338785296 = 778906^2 + 627964^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1001033342098 and 1001033342107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001033342137) 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 3 ways as a sum of consecutive naturals, for example, 4314798773 + ... + 4314799004.

It is an arithmetic number, because the mean of its divisors is an integer number (151017961115).

Almost surely, 21001033342132 is an apocalyptic number.

It is an amenable number.

1001033342132 is a deficient number, since it is larger than the sum of its proper divisors (811182191248).

1001033342132 is a wasteful number, since it uses less digits than its factorization.

1001033342132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8629597810 (or 8629597808 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 1001033342132 its reverse (2312433301001), we get a palindrome (3313466643133).

The spelling of 1001033342132 in words is "one trillion, one billion, thirty-three million, three hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 29 58 116 8629597777 17259195554 34518391108 250258335533 500516671066 1001033342132