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1131125205 = 35753439463
BaseRepresentation
bin100001101101011…
…1001100111010101
32220211102010002010
41003122321213111
54304032001310
6304123534433
740013256060
oct10332714725
92824363063
101131125205
11530544121
1227698a419
1315045ab72
14aa3218d7
1569483320
hex436b99d5

1131125205 has 64 divisors (see below), whose sum is σ = 2116730880. Its totient is φ = 505080576.

The previous prime is 1131125201. The next prime is 1131125207. The reversal of 1131125205 is 5025211311.

It is not a de Polignac number, because 1131125205 - 22 = 1131125201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131125201) 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 63 ways as a sum of consecutive naturals, for example, 2442804 + ... + 2443266.

It is an arithmetic number, because the mean of its divisors is an integer number (33073920).

Almost surely, 21131125205 is an apocalyptic number.

1131125205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1131125205 is a deficient number, since it is larger than the sum of its proper divisors (985605675).

1131125205 is a wasteful number, since it uses less digits than its factorization.

1131125205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970.

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 1131125205 is about 33632.2048786576. The cubic root of 1131125205 is about 1041.9260428301.

Adding to 1131125205 its reverse (5025211311), we get a palindrome (6156336516).

The spelling of 1131125205 in words is "one billion, one hundred thirty-one million, one hundred twenty-five thousand, two hundred five".

Divisors: 1 3 5 7 15 21 35 53 105 159 265 371 439 463 795 1113 1317 1389 1855 2195 2315 3073 3241 5565 6585 6945 9219 9723 15365 16205 23267 24539 46095 48615 69801 73617 116335 122695 162869 171773 203257 349005 368085 488607 515319 609771 814345 858865 1016285 1422799 2443035 2576595 3048855 4268397 7113995 10772621 21341985 32317863 53863105 75408347 161589315 226225041 377041735 1131125205