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1131310201131 = 321161211887839
BaseRepresentation
bin10000011101100111010…
…101111011100100101011
311000011002221201210011200
4100131213111323210223
5122013410402414011
62223414451455243
7144506631021525
oct20354725734453
94004087653150
101131310201131
113a687112a580
121633095b7523
13828b373a5c6
143ca8192aa15
151e664632856
hex1076757b92b

1131310201131 has 48 divisors (see below), whose sum is σ = 1820483957760. Its totient is φ = 671205528000.

The previous prime is 1131310201067. The next prime is 1131310201159. The reversal of 1131310201131 is 1311020131311.

1131310201131 is a `hidden beast` number, since 11 + 313 + 10 + 201 + 131 = 666.

It is not a de Polignac number, because 1131310201131 - 26 = 1131310201067 is a prime.

It is a super-2 number, since 2×11313102011312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1131310200131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 830310 + ... + 1718148.

It is an arithmetic number, because the mean of its divisors is an integer number (37926749120).

Almost surely, 21131310201131 is an apocalyptic number.

1131310201131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1131310201131 is a deficient number, since it is larger than the sum of its proper divisors (689173756629).

1131310201131 is a wasteful number, since it uses less digits than its factorization.

1131310201131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888128 (or 888125 counting only the distinct ones).

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

Adding to 1131310201131 its reverse (1311020131311), we get a palindrome (2442330332442).

The spelling of 1131310201131 in words is "one trillion, one hundred thirty-one billion, three hundred ten million, two hundred one thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 61 99 183 211 549 633 671 1899 2013 2321 6039 6963 12871 20889 38613 115839 141581 424743 887839 1274229 2663517 7990551 9766229 29298687 54158179 87896061 162474537 187334029 487423611 562002087 595739969 1686006261 1787219907 2060674319 5361659721 6182022957 11427375769 18546068871 34282127307 102846381921 125701133459 377103400377 1131310201131