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1031332133001 = 31972741575987
BaseRepresentation
bin11110000001000000010…
…11110111100010001001
310122121001022100200210110
433000200023313202021
5113344132011224001
62105442030504533
7134340241326402
oct17004013674211
93577038320713
101031332133001
11368427114195
12147a67065149
137633c639701
1437cb97789a9
151bc622cb3d6
hexf0202f7889

1031332133001 has 32 divisors (see below), whose sum is σ = 1450065576960. Its totient is φ = 650206598976.

The previous prime is 1031332132991. The next prime is 1031332133011. The reversal of 1031332133001 is 1003312331301.

It is an interprime number because it is at equal distance from previous prime (1031332132991) and next prime (1031332133011).

It is not a de Polignac number, because 1031332133001 - 29 = 1031332132489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1031332133011) 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 31 ways as a sum of consecutive naturals, for example, 172258930 + ... + 172264916.

It is an arithmetic number, because the mean of its divisors is an integer number (45314549280).

Almost surely, 21031332133001 is an apocalyptic number.

It is an amenable number.

1031332133001 is a deficient number, since it is larger than the sum of its proper divisors (418733443959).

1031332133001 is a wasteful number, since it uses less digits than its factorization.

1031332133001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10893.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1031332133001 its reverse (1003312331301), we get a palindrome (2034644464302).

The spelling of 1031332133001 in words is "one trillion, thirty-one billion, three hundred thirty-two million, one hundred thirty-three thousand, one".

Divisors: 1 3 19 57 727 2181 4157 5987 12471 13813 17961 41439 78983 113753 236949 341259 3022139 4352549 9066417 13057647 24887959 57420641 74663877 82698431 172261923 248095293 472871221 1418613663 18093546193 54280638579 343777377667 1031332133001