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33011130132 = 2232916975837
BaseRepresentation
bin11110101111100111…
…011101111100010100
310011012121021011101100
4132233213131330110
51020101322131012
623055355030100
72246021655621
oct365747357424
9104177234340
1033011130132
1112aaaa16732
12649343b330
1331611756c6
14185230b348
15cd316a8dc
hex7af9ddf14

33011130132 has 18 divisors (see below), whose sum is σ = 83444801258. Its totient is φ = 11003710032.

The previous prime is 33011130109. The next prime is 33011130151. The reversal of 33011130132 is 23103111033.

It is a happy number.

33011130132 is a `hidden beast` number, since 330 + 1 + 1 + 1 + 301 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28915642116 + 4095488016 = 170046^2 + 63996^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 458487883 + ... + 458487954.

Almost surely, 233011130132 is an apocalyptic number.

It is an amenable number.

33011130132 is an abundant number, since it is smaller than the sum of its proper divisors (50433671126).

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

33011130132 is a wasteful number, since it uses less digits than its factorization.

33011130132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916975847 (or 916975842 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 33011130132 its reverse (23103111033), we get a palindrome (56114241165).

The spelling of 33011130132 in words is "thirty-three billion, eleven million, one hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 916975837 1833951674 2750927511 3667903348 5501855022 8252782533 11003710044 16505565066 33011130132