Search a number
-
+
1032233130 = 2325101113557
BaseRepresentation
bin111101100001101…
…010000010101010
32122221022212122200
4331201222002222
54103222430010
6250232201030
734402560015
oct7541520252
92587285580
101032233130
1148a73a035
12249839176
13135b14746
149b13c37c
156094bcc0
hex3d86a0aa

1032233130 has 48 divisors (see below), whose sum is σ = 2710402344. Its totient is φ = 272534400.

The previous prime is 1032233119. The next prime is 1032233171. The reversal of 1032233130 is 313322301.

1032233130 is a `hidden beast` number, since 10 + 322 + 331 + 3 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 902341521 + 129891609 = 30039^2 + 11397^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47689 + ... + 65868.

Almost surely, 21032233130 is an apocalyptic number.

1032233130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1032233130 is an abundant number, since it is smaller than the sum of its proper divisors (1678169214).

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

1032233130 is a wasteful number, since it uses less digits than its factorization.

1032233130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113671 (or 113668 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1032233130 is about 32128.3851134787. The cubic root of 1032233130 is about 1010.6309588858.

Adding to 1032233130 its reverse (313322301), we get a palindrome (1345555431).

The spelling of 1032233130 in words is "one billion, thirty-two million, two hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 113557 227114 340671 567785 681342 1022013 1135570 1703355 2044026 3406710 5110065 10220130 11469257 22938514 34407771 57346285 68815542 103223313 114692570 172038855 206446626 344077710 516116565 1032233130