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33003120132 = 2232916753337
BaseRepresentation
bin11110101111001000…
…111010011000000100
310011012001012012201200
4132233020322120010
51020042244321012
623054511222500
72245563615063
oct365710723004
9104161165650
1033003120132
1112aa64456a4
126490817a30
13315c5cc868
1418512241da
15cd25d73dc
hex7af23a604

33003120132 has 18 divisors (see below), whose sum is σ = 83424553758. Its totient is φ = 11001040032.

The previous prime is 33003120121. The next prime is 33003120133. The reversal of 33003120132 is 23102130033.

It can be written as a sum of positive squares in only one way, i.e., 25887522816 + 7115597316 = 160896^2 + 84354^2 .

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 not an unprimeable number, because it can be changed into a prime (33003120133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 458376633 + ... + 458376704.

It is an arithmetic number, because the mean of its divisors is an integer number (4634697431).

Almost surely, 233003120132 is an apocalyptic number.

It is an amenable number.

33003120132 is an abundant number, since it is smaller than the sum of its proper divisors (50421433626).

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

33003120132 is a wasteful number, since it uses less digits than its factorization.

33003120132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916753347 (or 916753342 counting only the distinct ones).

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

Adding to 33003120132 its reverse (23102130033), we get a palindrome (56105250165).

Subtracting from 33003120132 its reverse (23102130033), we obtain a palindrome (9900990099).

The spelling of 33003120132 in words is "thirty-three billion, three million, one hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 916753337 1833506674 2750260011 3667013348 5500520022 8250780033 11001040044 16501560066 33003120132