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11231857329 = 37112312371709
BaseRepresentation
bin10100111010111100…
…01000101010110001
31001222202201110200220
422131132020222301
5141000323413304
65054305403253
7545223132510
oct123536105261
931882643626
1011231857329
1148440aa720
122215639529
13109cc87134
147879c6677
1545b0dcad9
hex29d788ab1

11231857329 has 64 divisors (see below), whose sum is σ = 19510087680. Its totient is φ = 5573272320.

The previous prime is 11231857327. The next prime is 11231857369. The reversal of 11231857329 is 92375813211.

11231857329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11231857329 - 21 = 11231857327 is a prime.

It is a super-2 number, since 2×112318573292 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11231857327) 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 63 ways as a sum of consecutive naturals, for example, 6571327 + ... + 6573035.

It is an arithmetic number, because the mean of its divisors is an integer number (304845120).

Almost surely, 211231857329 is an apocalyptic number.

It is an amenable number.

11231857329 is a deficient number, since it is larger than the sum of its proper divisors (8278230351).

11231857329 is a wasteful number, since it uses less digits than its factorization.

11231857329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990.

The product of its digits is 90720, while the sum is 42.

The spelling of 11231857329 in words is "eleven billion, two hundred thirty-one million, eight hundred fifty-seven thousand, three hundred twenty-nine".

Divisors: 1 3 7 11 21 23 33 69 77 161 231 253 483 759 1237 1709 1771 3711 5127 5313 8659 11963 13607 18799 25977 28451 35889 39307 40821 56397 85353 95249 117921 131593 199157 275149 285747 312961 394779 432377 597471 825447 938883 1297131 2114033 2190727 3026639 6342099 6572181 9079917 14798231 23254363 44394693 48622759 69763089 145868277 162780541 340359313 488341623 534850349 1021077939 1604551047 3743952443 11231857329