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1345113135 = 3556118149
BaseRepresentation
bin101000000101100…
…1100110000101111
310110202001211100000
41100023030300233
510223322110020
6341250235343
745222162432
oct12013146057
93422054300
101345113135
11630310453
12316585b53
131858a1c42
14ca905819
157d152090
hex502ccc2f

1345113135 has 48 divisors (see below), whose sum is σ = 2457655200. Its totient is φ = 705594240.

The previous prime is 1345113131. The next prime is 1345113137. The reversal of 1345113135 is 5313115431.

It is a happy number.

1345113135 is a `hidden beast` number, since 1 + 345 + 1 + 1 + 313 + 5 = 666.

It is not a de Polignac number, because 1345113135 - 22 = 1345113131 is a prime.

It is a super-3 number, since 3×13451131353 (a number of 28 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1345113099 and 1345113108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345113131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65041 + ... + 83189.

It is an arithmetic number, because the mean of its divisors is an integer number (51201150).

Almost surely, 21345113135 is an apocalyptic number.

1345113135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1345113135 is a deficient number, since it is larger than the sum of its proper divisors (1112542065).

1345113135 is an equidigital number, since it uses as much as digits as its factorization.

1345113135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18230 (or 18218 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 1345113135 is about 36675.7840406991. The cubic root of 1345113135 is about 1103.8742546408.

Adding to 1345113135 its reverse (5313115431), we get a palindrome (6658228566).

The spelling of 1345113135 in words is "one billion, three hundred forty-five million, one hundred thirteen thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 61 81 135 183 243 305 405 549 915 1215 1647 2745 4941 8235 14823 18149 24705 54447 74115 90745 163341 272235 490023 816705 1107089 1470069 2450115 3321267 4410207 5535445 7350345 9963801 16606335 22051035 29891403 49819005 89674209 149457015 269022627 448371045 1345113135