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33145510321 = 7114149121383
BaseRepresentation
bin11110110111101000…
…000101100110110001
310011112222010101100101
4132313220011212301
51020340222312241
623120555152401
72252243121610
oct366750054661
9104488111311
1033145510321
111306985a540
126510445701
133182c65b01
1418660cb877
15cded61e31
hex7b7a059b1

33145510321 has 32 divisors (see below), whose sum is σ = 42420381696. Its totient is φ = 25145232000.

The previous prime is 33145510309. The next prime is 33145510361. The reversal of 33145510321 is 12301554133.

It is a happy number.

It is not a de Polignac number, because 33145510321 - 27 = 33145510193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33145510321.

It is not an unprimeable number, because it can be changed into a prime (33145510301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1539396 + ... + 1560778.

It is an arithmetic number, because the mean of its divisors is an integer number (1325636928).

Almost surely, 233145510321 is an apocalyptic number.

It is an amenable number.

33145510321 is a deficient number, since it is larger than the sum of its proper divisors (9274871375).

33145510321 is a wasteful number, since it uses less digits than its factorization.

33145510321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21933.

The product of its (nonzero) digits is 5400, while the sum is 28.

The spelling of 33145510321 in words is "thirty-three billion, one hundred forty-five million, five hundred ten thousand, three hundred twenty-one".

Divisors: 1 7 11 41 77 287 451 491 3157 3437 5401 20131 21383 37807 140917 149681 221441 235213 876703 1550087 1646491 6136921 9643733 10499053 67506131 73493371 115489583 430461173 808427081 3013228211 4735072903 33145510321