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11100321131013 = 3214973331128821
BaseRepresentation
bin1010000110000111111010…
…1100101010101000000101
31110022011212110120011111100
42201201332230222220011
52423331424202143023
635335230033330313
72223654206551002
oct241417654525005
943264773504440
1011100321131013
11359a68a991544
1212b3397106999
136269a961c73a
142a538910a8a9
15143b28bc8c43
hexa187eb2aa05

11100321131013 has 24 divisors (see below), whose sum is σ = 16143622068600. Its totient is φ = 7349539317120.

The previous prime is 11100321130999. The next prime is 11100321131057. The reversal of 11100321131013 is 31013112300111.

11100321131013 is a `hidden beast` number, since 11 + 10 + 0 + 321 + 1 + 310 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78233208804 + 11022087922209 = 279702^2 + 3319953^2 .

It is not a de Polignac number, because 11100321131013 - 220 = 11100320082437 is a prime.

It is a super-2 number, since 2×111003211310132 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100321131063) 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, 9269143 + ... + 10397963.

It is an arithmetic number, because the mean of its divisors is an integer number (672650919525).

Almost surely, 211100321131013 is an apocalyptic number.

It is an amenable number.

11100321131013 is a deficient number, since it is larger than the sum of its proper divisors (5043300937587).

11100321131013 is a wasteful number, since it uses less digits than its factorization.

11100321131013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136309 (or 1136306 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11100321131013 its reverse (31013112300111), we get a palindrome (42113433431124).

The spelling of 11100321131013 in words is "eleven trillion, one hundred billion, three hundred twenty-one million, one hundred thirty-one thousand, thirteen".

Divisors: 1 3 9 149 447 1341 7333 21999 65997 1092617 1128821 3277851 3386463 9833553 10159389 168194329 504582987 1513748961 8277644393 24832933179 74498799537 1233369014557 3700107043671 11100321131013