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1131064155 = 35513101709
BaseRepresentation
bin100001101101010…
…1010101101011011
32220211022000100000
41003122222231123
54304023023110
6304122344043
740012613064
oct10332525533
92824260300
101131064155
11530502271
1227695b023
13150439140
14aa30756b
15694701c0
hex436aab5b

1131064155 has 96 divisors (see below), whose sum is σ = 2214313920. Its totient is φ = 550540800.

The previous prime is 1131064153. The next prime is 1131064223. The reversal of 1131064155 is 5514601311.

1131064155 is a `hidden beast` number, since 1 + 1 + 3 + 10 + 641 + 5 + 5 = 666.

It is not a de Polignac number, because 1131064155 - 21 = 1131064153 is a prime.

It is a super-2 number, since 2×11310641552 = 2558612245451728050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1131064153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1594941 + ... + 1595649.

It is an arithmetic number, because the mean of its divisors is an integer number (23065770).

Almost surely, 21131064155 is an apocalyptic number.

1131064155 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1131064155 is a deficient number, since it is larger than the sum of its proper divisors (1083249765).

1131064155 is a wasteful number, since it uses less digits than its factorization.

1131064155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1131064155 is about 33631.2972541946. The cubic root of 1131064155 is about 1041.9072972692.

Adding to 1131064155 its reverse (5514601311), we get a palindrome (6645665466).

The spelling of 1131064155 in words is "one billion, one hundred thirty-one million, sixty-four thousand, one hundred fifty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 101 117 135 195 243 303 351 405 505 585 709 909 1053 1215 1313 1515 1755 2127 2727 3159 3545 3939 4545 5265 6381 6565 8181 9217 10635 11817 13635 15795 19143 19695 24543 27651 31905 35451 40905 46085 57429 59085 71609 82953 95715 106353 122715 138255 172287 177255 214827 248859 287145 319059 358045 414765 531765 644481 746577 861435 930917 1074135 1244295 1595295 1933443 2239731 2792751 3222405 3732885 4654585 5800329 8378253 9667215 11198655 13963755 17400987 25134759 29001645 41891265 75404277 87004935 125673795 226212831 377021385 1131064155