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1331331301128 = 23365984176233
BaseRepresentation
bin10011010111111001100…
…001110111111100001000
311201021101202201110102110
4103113321201313330020
5133303031303114003
62455334414102320
7165120426225543
oct23277141677410
94637352643373
101331331301128
114736838a2494
121960301aa9a0
139870c23678a
144861874185a
152496e873a03
hex135f9877f08

1331331301128 has 32 divisors (see below), whose sum is σ = 3333378866400. Its totient is φ = 443103685248.

The previous prime is 1331331301103. The next prime is 1331331301141. The reversal of 1331331301128 is 8211031331331.

It is a junction number, because it is equal to n+sod(n) for n = 1331331301095 and 1331331301104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42072301 + ... + 42103932.

It is an arithmetic number, because the mean of its divisors is an integer number (104168089575).

Almost surely, 21331331301128 is an apocalyptic number.

It is an amenable number.

1331331301128 is an abundant number, since it is smaller than the sum of its proper divisors (2002047565272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1331331301128 is a wasteful number, since it uses less digits than its factorization.

1331331301128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84176901 (or 84176897 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

Adding to 1331331301128 its reverse (8211031331331), we get a palindrome (9542362632459).

The spelling of 1331331301128 in words is "one trillion, three hundred thirty-one billion, three hundred thirty-one million, three hundred one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 659 1318 1977 2636 3954 5272 7908 15816 84176233 168352466 252528699 336704932 505057398 673409864 1010114796 2020229592 55472137547 110944275094 166416412641 221888550188 332832825282 443777100376 665665650564 1331331301128