Search a number
-
+
132000033 = 3114197561
BaseRepresentation
bin1111101111000…
…10100100100001
3100012101022000010
413313202210201
5232243000113
621033115133
73161660514
oct767424441
9305338003
10132000033
1168568640
1238258aa9
1321468c39
1413760d7b
15b8c61c3
hex7de2921

132000033 has 16 divisors (see below), whose sum is σ = 196684992. Its totient is φ = 78048000.

The previous prime is 132000023. The next prime is 132000079. The reversal of 132000033 is 330000231.

It is a happy number.

It is not a de Polignac number, because 132000033 - 26 = 131999969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131999982 and 132000018.

It is not an unprimeable number, because it can be changed into a prime (132000023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47428 + ... + 50133.

It is an arithmetic number, because the mean of its divisors is an integer number (12292812).

Almost surely, 2132000033 is an apocalyptic number.

It is an amenable number.

132000033 is a deficient number, since it is larger than the sum of its proper divisors (64684959).

132000033 is a wasteful number, since it uses less digits than its factorization.

132000033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97616.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 132000033 is about 11489.1267292166. The cubic root of 132000033 is about 509.1643793963.

Adding to 132000033 its reverse (330000231), we get a palindrome (462000264).

It can be divided in two parts, 1320000 and 33, that multiplied together give a square (43560000 = 66002).

The spelling of 132000033 in words is "one hundred thirty-two million, thirty-three", and thus it is an aban number.

Divisors: 1 3 11 33 41 123 451 1353 97561 292683 1073171 3219513 4000001 12000003 44000011 132000033