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10131121 = 7111329349
BaseRepresentation
bin100110101001…
…011010110001
3201001201021201
4212221122301
510043143441
61001051201
7152053540
oct46513261
921051251
1010131121
11579a730
123486b01
132139460
1414ba157
15d51c31
hex9a96b1

10131121 has 32 divisors (see below), whose sum is σ = 14112000. Its totient is φ = 7015680.

The previous prime is 10131097. The next prime is 10131127. The reversal of 10131121 is 12113101.

10131121 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 10131121 - 223 = 1742513 is a prime.

It is a super-2 number, since 2×101311212 = 205279225433282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10131098 and 10131107.

It is not an unprimeable number, because it can be changed into a prime (10131127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28855 + ... + 29203.

It is an arithmetic number, because the mean of its divisors is an integer number (441000).

Almost surely, 210131121 is an apocalyptic number.

10131121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10131121 is a deficient number, since it is larger than the sum of its proper divisors (3980879).

10131121 is a wasteful number, since it uses less digits than its factorization.

10131121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 10131121 is about 3182.9421923748. The cubic root of 10131121 is about 216.3810218733.

Adding to 10131121 its reverse (12113101), we get a palindrome (22244222).

It can be divided in two parts, 10 and 131121, that added together give a palindrome (131131).

The spelling of 10131121 in words is "ten million, one hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 7 11 13 29 77 91 143 203 319 349 377 1001 2233 2443 2639 3839 4147 4537 10121 26873 29029 31759 49907 70847 111331 131573 349349 779317 921011 1447303 10131121