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1135130031 = 357313619
BaseRepresentation
bin100001110101000…
…1011010110101111
32221002221120200000
41003222023112233
54311043130111
6304345435343
740062306000
oct10352132657
92832846600
101135130031
11532829aa2
1227819bb53
13151230999
14aaa851a7
15699c4c56
hex43a8b5af

1135130031 has 48 divisors (see below), whose sum is σ = 1983072000. Its totient is φ = 648598104.

The previous prime is 1135129997. The next prime is 1135130047. The reversal of 1135130031 is 1300315311.

1135130031 is a `hidden beast` number, since 11 + 351 + 300 + 3 + 1 = 666.

It is not a de Polignac number, because 1135130031 - 27 = 1135129903 is a prime.

It is a super-2 number, since 2×11351300312 = 2577040374556121922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1135129986 and 1135130013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135130531) 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 47 ways as a sum of consecutive naturals, for example, 76540 + ... + 90158.

It is an arithmetic number, because the mean of its divisors is an integer number (41314000).

Almost surely, 21135130031 is an apocalyptic number.

1135130031 is a deficient number, since it is larger than the sum of its proper divisors (847941969).

1135130031 is an frugal number, since it uses more digits than its factorization.

1135130031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13655 (or 13629 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 1135130031 is about 33691.6908302329. The cubic root of 1135130031 is about 1043.1542645269.

Adding to 1135130031 its reverse (1300315311), we get a palindrome (2435445342).

The spelling of 1135130031 in words is "one billion, one hundred thirty-five million, one hundred thirty thousand, thirty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 343 441 567 1029 1323 1701 3087 3969 9261 11907 13619 27783 40857 83349 95333 122571 285999 367713 667331 857997 1103139 2001993 2573991 3309417 4671317 6005979 7721973 14013951 18017937 23165919 42041853 54053811 126125559 162161433 378376677 1135130031