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11042030221431 = 3112238771508047
BaseRepresentation
bin1010000010101110110001…
…0010011111100001110111
31110002121102001221011001020
42200223230102133201313
52421403034214041211
635252345541032223
72216521542156126
oct240535422374167
943077361834036
1011042030221431
113577998216400
1212a40296b5673
13621349ca2671
142a2619627abd
15142366523306
hexa0aec49f877

11042030221431 has 48 divisors (see below), whose sum is σ = 16905676526592. Its totient is φ = 6393873752640.

The previous prime is 11042030221429. The next prime is 11042030221447. The reversal of 11042030221431 is 13412203024011.

It is not a de Polignac number, because 11042030221431 - 21 = 11042030221429 is a prime.

It is a super-2 number, since 2×110420302214312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11042030221451) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6568050 + ... + 8076096.

It is an arithmetic number, because the mean of its divisors is an integer number (352201594304).

Almost surely, 211042030221431 is an apocalyptic number.

11042030221431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11042030221431 is a deficient number, since it is larger than the sum of its proper divisors (5863646305161).

11042030221431 is a wasteful number, since it uses less digits than its factorization.

11042030221431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508972 (or 1508961 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11042030221431 its reverse (13412203024011), we get a palindrome (24454233245442).

The spelling of 11042030221431 in words is "eleven trillion, forty-two billion, thirty million, two hundred twenty-one thousand, four hundred thirty-one".

Divisors: 1 3 11 23 33 69 121 253 363 759 877 2631 2783 8349 9647 20171 28941 60513 106117 221881 318351 665643 1508047 2440691 4524141 7322073 16588517 34685081 49765551 104055243 182473687 381535891 547421061 1144607673 1322557219 3967671657 4196894801 12590684403 14548129409 30418816037 43644388227 91256448111 160029423499 334606976407 480088270497 1003820929221 3680676740477 11042030221431