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201211441131 = 31959300119937
BaseRepresentation
bin1011101101100100100…
…0101110111111101011
3201020100202211021022110
42323121020232333223
511244040112104011
6232234003253403
720352131013231
oct2733110567753
9636322737273
10201211441131
1178373681918
1232bb537a263
1315c882bb14c
149a4ad4c951
1553799beba6
hex2ed922efeb

201211441131 has 32 divisors (see below), whose sum is σ = 287298604800. Its totient is φ = 124879104000.

The previous prime is 201211441127. The next prime is 201211441147. The reversal of 201211441131 is 131144112102.

It is not a de Polignac number, because 201211441131 - 22 = 201211441127 is a prime.

It is a super-2 number, since 2×2012114411312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201211441098 and 201211441107.

It is not an unprimeable number, because it can be changed into a prime (201211448131) 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, 10082395 + ... + 10102331.

It is an arithmetic number, because the mean of its divisors is an integer number (8978081400).

Almost surely, 2201211441131 is an apocalyptic number.

201211441131 is a deficient number, since it is larger than the sum of its proper divisors (86087163669).

201211441131 is a wasteful number, since it uses less digits than its factorization.

201211441131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23019.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 201211441131 its reverse (131144112102), we get a palindrome (332355553233).

The spelling of 201211441131 in words is "two hundred one billion, two hundred eleven million, four hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 3 19 57 59 177 1121 3001 3363 9003 19937 57019 59811 171057 177059 378803 531177 1136409 1176283 3364121 3528849 10092363 22349377 59830937 67048131 179492811 1136787803 3410363409 3530025283 10590075849 67070480377 201211441131