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1331110142241 = 3111912791659877
BaseRepresentation
bin10011010111101100010…
…110001110000100100001
311201020211100120102110120
4103113230112032010201
5133302103144022431
62455300433550453
7165112102344465
oct23275426160441
94636740512416
101331110142241
1147357aa78550
12195b8a115429
13986a5481729
14485d72124a5
152495a23a196
hex135ec58e121

1331110142241 has 32 divisors (see below), whose sum is σ = 2039658086400. Its totient is φ = 763675750080.

The previous prime is 1331110142147. The next prime is 1331110142249. The reversal of 1331110142241 is 1422410111331.

It is not a de Polignac number, because 1331110142241 - 214 = 1331110125857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1331110142249) 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 31 ways as a sum of consecutive naturals, for example, 28006 + ... + 1631871.

It is an arithmetic number, because the mean of its divisors is an integer number (63739315200).

Almost surely, 21331110142241 is an apocalyptic number.

1331110142241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1331110142241 is a deficient number, since it is larger than the sum of its proper divisors (708547944159).

1331110142241 is a wasteful number, since it uses less digits than its factorization.

1331110142241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661189.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 1331110142241 its reverse (1422410111331), we get a palindrome (2753520253572).

The spelling of 1331110142241 in words is "one trillion, three hundred thirty-one billion, one hundred ten million, one hundred forty-two thousand, two hundred forty-one".

Divisors: 1 3 11 19 33 57 209 627 1279 3837 14069 24301 42207 72903 267311 801933 1659877 4979631 18258647 31537663 54775941 94612989 346914293 1040742879 2122982683 6368948049 23352809513 40336670977 70058428539 121010012931 443703380747 1331110142241