Search a number
-
+
1131111023031 = 331119119939553
BaseRepresentation
bin10000011101011011011…
…110001000000110110111
311000010121001221111012000
4100131123132020012313
5122013003410214111
62223343014430343
7144501662026413
oct20353336100667
94003531844160
101131111023031
113a6779759080
121632729623b3
13828813b0442
143ca632bdd43
151e651ddbc56
hex1075b7881b7

1131111023031 has 32 divisors (see below), whose sum is σ = 1837629296640. Its totient is φ = 681932678400.

The previous prime is 1131111022981. The next prime is 1131111023057. The reversal of 1131111023031 is 1303201111311.

1131111023031 is a `hidden beast` number, since 11 + 311 + 110 + 230 + 3 + 1 = 666.

It is not a de Polignac number, because 1131111023031 - 214 = 1131111006647 is a prime.

It is a super-2 number, since 2×11311110230312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1131111022995 and 1131111023013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131111023131) 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, 9913050 + ... + 10026503.

It is an arithmetic number, because the mean of its divisors is an integer number (57425915520).

Almost surely, 21131111023031 is an apocalyptic number.

1131111023031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1131111023031 is a deficient number, since it is larger than the sum of its proper divisors (706518273609).

1131111023031 is a wasteful number, since it uses less digits than its factorization.

1131111023031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19939764 (or 19939758 counting only the distinct ones).

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

Adding to 1131111023031 its reverse (1303201111311), we get a palindrome (2434312134342).

The spelling of 1131111023031 in words is "one trillion, one hundred thirty-one billion, one hundred eleven million, twenty-three thousand, thirty-one".

Divisors: 1 3 9 11 27 33 99 191 297 573 1719 2101 5157 6303 18909 56727 19939553 59818659 179455977 219335083 538367931 658005249 1974015747 3808454623 5922047241 11425363869 34276091607 41893000853 102828274821 125679002559 377037007677 1131111023031