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11531142530226 = 232111741607137653
BaseRepresentation
bin1010011111001100110110…
…1001111000010010110010
31111211100220011000211202100
42213303031221320102302
53002411234441431401
640305200031201230
72300045314201524
oct247631551702262
944740804024670
1011531142530226
11374636a3842a0
121362990376216
136584c7558cb7
142bc178853a14
1514ee4139db86
hexa7ccda784b2

11531142530226 has 192 divisors, whose sum is σ = 29611476550656. Its totient is φ = 3203217100800.

The previous prime is 11531142530207. The next prime is 11531142530291. The reversal of 11531142530226 is 62203524113511.

11531142530226 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 1 + 1 + 425 + 3 + 0 + 226 = 666.

It is a super-2 number, since 2×115311425302262 (a number of 27 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 83700816 + ... + 83838468.

It is an arithmetic number, because the mean of its divisors is an integer number (154226440368).

Almost surely, 211531142530226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11531142530226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14805738275328).

11531142530226 is an abundant number, since it is smaller than the sum of its proper divisors (18080334020430).

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

11531142530226 is a wasteful number, since it uses less digits than its factorization.

11531142530226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138337 (or 138334 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 11531142530226 its reverse (62203524113511), we get a palindrome (73734666643737).

The spelling of 11531142530226 in words is "eleven trillion, five hundred thirty-one billion, one hundred forty-two million, five hundred thirty thousand, two hundred twenty-six".