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135012800322 = 23312292034367
BaseRepresentation
bin111110110111101100…
…0111101011101000010
3110220111021101212221000
41331233120331131002
54203001234102242
6142005104512430
712516512603361
oct1755730753502
9426437355830
10135012800322
115229322a214
12221bb61b716
13c96859577a
14676b13d7d8
1537a2e97a4c
hex1f6f63d742

135012800322 has 32 divisors (see below), whose sum is σ = 300272716800. Its totient is φ = 44967626064.

The previous prime is 135012800309. The next prime is 135012800323. The reversal of 135012800322 is 223008210531.

135012800322 is a `hidden beast` number, since 1 + 350 + 1 + 280 + 0 + 32 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135012800323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 950818 + ... + 1083549.

It is an arithmetic number, because the mean of its divisors is an integer number (9383522400).

Almost surely, 2135012800322 is an apocalyptic number.

135012800322 is an abundant number, since it is smaller than the sum of its proper divisors (165259916478).

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

135012800322 is a wasteful number, since it uses less digits than its factorization.

135012800322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035607 (or 2035601 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 135012800322 in words is "one hundred thirty-five billion, twelve million, eight hundred thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 1229 2458 3687 7374 11061 22122 33183 66366 2034367 4068734 6103101 12206202 18309303 36618606 54927909 109855818 2500237043 5000474086 7500711129 15001422258 22502133387 45004266774 67506400161 135012800322