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1320012100231 = 112173449140443
BaseRepresentation
bin10011001101010110110…
…110100011001010000111
311200012011220122110212121
4103031112312203022013
5133111341044201411
62450223304230411
7164240062503046
oct23152666431207
94605156573777
101320012100231
114698a5466300
121939b146b407
139762714a876
1447c6330055d
152450ac81571
hex13356da3287

1320012100231 has 24 divisors (see below), whose sum is σ = 1462569771600. Its totient is φ = 1190408862720.

The previous prime is 1320012100219. The next prime is 1320012100271.

1320012100231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1320012100231 - 27 = 1320012100103 is a prime.

It is a super-2 number, since 2×13200121002312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320012100271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9328696 + ... + 9469138.

It is an arithmetic number, because the mean of its divisors is an integer number (60940407150).

Almost surely, 21320012100231 is an apocalyptic number.

1320012100231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1320012100231 is a deficient number, since it is larger than the sum of its proper divisors (142557671369).

1320012100231 is a wasteful number, since it uses less digits than its factorization.

1320012100231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141087 (or 141076 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The spelling of 1320012100231 in words is "one trillion, three hundred twenty billion, twelve million, one hundred thousand, two hundred thirty-one".

Divisors: 1 11 121 173 449 1903 4939 20933 54329 77677 140443 854447 1544873 9398917 16993603 24296639 63058907 267263029 693647977 2939893319 7630127747 10909190911 120001100021 1320012100231