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130332033 = 32131113949
BaseRepresentation
bin1111100010010…
…11010110000001
3100002020112221100
413301023112001
5231331111113
620533245013
73141542526
oct761132601
9302215840
10130332033
1167629427
1237793769
1321003960
141344914d
15b696d73
hex7c4b581

130332033 has 12 divisors (see below), whose sum is σ = 202738900. Its totient is φ = 80204256.

The previous prime is 130331983. The next prime is 130332043. The reversal of 130332033 is 330233031.

It can be written as a sum of positive squares in 2 ways, for example, as 77580864 + 52751169 = 8808^2 + 7263^2 .

It is not a de Polignac number, because 130332033 - 26 = 130331969 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 130331997 and 130332015.

It is not an unprimeable number, because it can be changed into a prime (130332043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 556858 + ... + 557091.

Almost surely, 2130332033 is an apocalyptic number.

130332033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130332033 is a deficient number, since it is larger than the sum of its proper divisors (72406867).

130332033 is a wasteful number, since it uses less digits than its factorization.

130332033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113968 (or 1113965 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 130332033 is about 11416.3055757982. The cubic root of 130332033 is about 507.0106203207.

Adding to 130332033 its reverse (330233031), we get a palindrome (460565064).

The spelling of 130332033 in words is "one hundred thirty million, three hundred thirty-two thousand, thirty-three".

Divisors: 1 3 9 13 39 117 1113949 3341847 10025541 14481337 43444011 130332033