Search a number
-
+
1032132244122 = 232729537277331
BaseRepresentation
bin11110000010011111110…
…00000011001010011010
310122200010001220112220200
433001033320003022122
5113402301323302442
62110053252003030
7134366125215030
oct17011770031232
93580101815820
101032132244122
113687a7820551
1214804b000476
137643932b045
1437d53b32550
151bcac67634c
hexf04fe0329a

1032132244122 has 48 divisors (see below), whose sum is σ = 2555851776192. Its totient is φ = 294883879680.

The previous prime is 1032132244069. The next prime is 1032132244127. The reversal of 1032132244122 is 2214422312301.

1032132244122 is a `hidden beast` number, since 1 + 0 + 3 + 21 + 3 + 224 + 412 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1032132244127) 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 23 ways as a sum of consecutive naturals, for example, 3582997 + ... + 3860327.

It is an arithmetic number, because the mean of its divisors is an integer number (53246912004).

Almost surely, 21032132244122 is an apocalyptic number.

1032132244122 is an abundant number, since it is smaller than the sum of its proper divisors (1523719532070).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1032132244122 is a wasteful number, since it uses less digits than its factorization.

1032132244122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306883 (or 306880 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1032132244122 its reverse (2214422312301), we get a palindrome (3246554556423).

The spelling of 1032132244122 in words is "one trillion, thirty-two billion, one hundred thirty-two million, two hundred forty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 29537 59074 88611 177222 206759 265833 277331 413518 531666 554662 620277 831993 1240554 1663986 1860831 1941317 2495979 3721662 3882634 4991958 5823951 11647902 17471853 34943706 8191525747 16383051494 24574577241 49149154482 57340680229 73723731723 114681360458 147447463446 172022040687 344044081374 516066122061 1032132244122