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133105324745 = 5174217371341
BaseRepresentation
bin111101111110110110…
…0100001001011001001
3110201120100011002100102
41323331230201023021
54140044430342440
6141051525015145
712421321410161
oct1737554411311
9421510132312
10133105324745
11514a4538618
12219688544b5
13c7233453b3
146629a8b5a1
1536e07aeb15
hex1efdb212c9

133105324745 has 16 divisors (see below), whose sum is σ = 169162620048. Its totient is φ = 100196444160.

The previous prime is 133105324739. The next prime is 133105324763. The reversal of 133105324745 is 547423501331.

It can be written as a sum of positive squares in 8 ways, for example, as 17845753744 + 115259571001 = 133588^2 + 339499^2 .

It is not a de Polignac number, because 133105324745 - 222 = 133101130441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133105324699 and 133105324708.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172775 + ... + 544115.

It is an arithmetic number, because the mean of its divisors is an integer number (10572663753).

Almost surely, 2133105324745 is an apocalyptic number.

It is an amenable number.

133105324745 is a deficient number, since it is larger than the sum of its proper divisors (36057295303).

133105324745 is a wasteful number, since it uses less digits than its factorization.

133105324745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375580.

The product of its (nonzero) digits is 151200, while the sum is 38.

The spelling of 133105324745 in words is "one hundred thirty-three billion, one hundred five million, three hundred twenty-four thousand, seven hundred forty-five".

Divisors: 1 5 17 85 4217 21085 71689 358445 371341 1856705 6312797 31563985 1565944997 7829724985 26621064949 133105324745