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11233210140113 = 132931231005529
BaseRepresentation
bin1010001101110110111110…
…0000000000010111010001
31110202212212201200021120012
42203131233200000113101
52433021103243440423
635520244314124305
72236400263521263
oct243355740002721
943685781607505
1011233210140113
113640a833029a5
1213150a3420695
13636396bb73c0
142ab994169b33
151473054aa078
hexa376f8005d1

11233210140113 has 24 divisors (see below), whose sum is σ = 12931166341800. Its totient is φ = 9688607389440.

The previous prime is 11233210140013. The next prime is 11233210140127. The reversal of 11233210140113 is 31104101233211.

It can be written as a sum of positive squares in 4 ways, for example, as 787599451024 + 10445610689089 = 887468^2 + 3231967^2 .

It is not a de Polignac number, because 11233210140113 - 220 = 11233209091537 is a prime.

It is a super-3 number, since 3×112332101401133 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11233210140143) 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, 15140468 + ... + 15865061.

It is an arithmetic number, because the mean of its divisors is an integer number (538798597575).

Almost surely, 211233210140113 is an apocalyptic number.

11233210140113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11233210140113 is a deficient number, since it is larger than the sum of its proper divisors (1697956201687).

11233210140113 is a wasteful number, since it uses less digits than its factorization.

11233210140113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31005633 (or 31005602 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 11233210140113 its reverse (31104101233211), we get a palindrome (42337311373324).

The spelling of 11233210140113 in words is "eleven trillion, two hundred thirty-three billion, two hundred ten million, one hundred forty thousand, one hundred thirteen".

Divisors: 1 13 29 31 377 403 899 961 11687 12493 27869 362297 31005529 403071877 899160341 961171399 11689084433 12495228187 27873970571 29796313369 362361617423 387352073797 864093087701 11233210140113