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1032213320001 = 3431976916133
BaseRepresentation
bin11110000010101001011…
…01010101000101000001
310122200022201110122010000
433001110231111011001
5113402433102220001
62110105305430213
7134401131311613
oct17012455250501
93580281418100
101032213320001
11368839567006
1214807219b369
1376450077036
1437d607d8db3
151bcb483da86
hexf054b55141

1032213320001 has 80 divisors (see below), whose sum is σ = 1610687507968. Its totient is φ = 658017561600.

The previous prime is 1032213319993. The next prime is 1032213320029. The reversal of 1032213320001 is 1000233122301.

1032213320001 is a `hidden beast` number, since 10 + 322 + 1 + 332 + 0 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 1032213320001 - 23 = 1032213319993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1032213320041) 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 79 ways as a sum of consecutive naturals, for example, 168301731 + ... + 168307863.

Almost surely, 21032213320001 is an apocalyptic number.

It is an amenable number.

1032213320001 is a deficient number, since it is larger than the sum of its proper divisors (578474187967).

1032213320001 is an equidigital number, since it uses as much as digits as its factorization.

1032213320001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6964 (or 6955 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1032213320001 its reverse (1000233122301), we get a palindrome (2032446442302).

The spelling of 1032213320001 in words is "one trillion, thirty-two billion, two hundred thirteen million, three hundred twenty thousand, one".

Divisors: 1 3 9 27 31 81 93 97 279 291 691 837 873 2073 2511 2619 3007 6133 6219 7857 9021 18399 18657 21421 27063 55197 55971 64263 67027 81189 165591 190123 192789 201081 243567 496773 570369 578367 594901 603243 1711107 1735101 1784703 1809729 2077837 4237903 5133321 5354109 5429187 6233511 12713709 15399963 16062327 18441931 18700533 38141127 48186981 55325793 56101599 114423381 131374993 165977379 168304797 343270143 394124979 411076591 497932137 1182374937 1233229773 1493796411 3547124811 3699689319 10641374433 11099067957 12743374321 33297203871 38230122963 114690368889 344071106667 1032213320001