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33132000001 = 416117477583
BaseRepresentation
bin11110110110110100…
…100011001100000001
310011112000200222200011
4132312310203030001
51020323243000001
623115353424521
72252020232122
oct366664431401
9104460628604
1033132000001
1113062171a91
126507a0b141
133180215539
1418643b2049
15cdda93d51
hex7b6d23301

33132000001 has 16 divisors (see below), whose sum is σ = 34520790528. Its totient is φ = 31771612800.

The previous prime is 33131999981. The next prime is 33132000017. The reversal of 33132000001 is 10000023133.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33132000001 is a prime.

It is a super-4 number, since 4×331320000014 (a number of 43 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33132000701) 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 15 ways as a sum of consecutive naturals, for example, 4365456 + ... + 4373038.

It is an arithmetic number, because the mean of its divisors is an integer number (2157549408).

Almost surely, 233132000001 is an apocalyptic number.

It is an amenable number.

33132000001 is a deficient number, since it is larger than the sum of its proper divisors (1388790527).

33132000001 is a wasteful number, since it uses less digits than its factorization.

33132000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9432.

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 33132000001 its reverse (10000023133), we get a palindrome (43132023134).

The spelling of 33132000001 in words is "thirty-three billion, one hundred thirty-two million, one", and thus it is an aban number.

Divisors: 1 41 61 1747 2501 7583 71627 106567 310903 462563 4369247 13247501 18965083 543147541 808097561 33132000001