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1001312164233 = 32111256907137
BaseRepresentation
bin11101001001000101101…
…10110001100110001001
310112201120011111021102100
432210202312301212021
5112401141403223413
62043555122424013
7132225306651513
oct16444266614611
93481504437370
101001312164233
11356721681347
12142089502009
13735670a2494
143666c812bb3
151b0a6a5aa73
hexe922db1989

1001312164233 has 6 divisors (see below), whose sum is σ = 1446339792794. Its totient is φ = 667541442816.

The previous prime is 1001312164219. The next prime is 1001312164267. The reversal of 1001312164233 is 3324612131001.

It is a happy number.

1001312164233 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 12 + 1 + 642 + 3 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 667011957264 + 334300206969 = 816708^2 + 578187^2 .

It is a de Polignac number, because none of the positive numbers 2k-1001312164233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001312164197 and 1001312164206.

It is not an unprimeable number, because it can be changed into a prime (1001312164273) 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 5 ways as a sum of consecutive naturals, for example, 55628453560 + ... + 55628453577.

Almost surely, 21001312164233 is an apocalyptic number.

It is an amenable number.

1001312164233 is a deficient number, since it is larger than the sum of its proper divisors (445027628561).

1001312164233 is a wasteful number, since it uses less digits than its factorization.

1001312164233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111256907143 (or 111256907140 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1001312164233 its reverse (3324612131001), we get a palindrome (4325924295234).

The spelling of 1001312164233 in words is "one trillion, one billion, three hundred twelve million, one hundred sixty-four thousand, two hundred thirty-three".

Divisors: 1 3 9 111256907137 333770721411 1001312164233