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1311115330 = 257191675903
BaseRepresentation
bin100111000100110…
…0000100001000010
310101101002120010001
41032021200201002
510141121142310
6334033430214
744330203450
oct11611404102
93341076101
101311115330
116130aa398
1230710b36a
1317b82a3b5
14c61b59d0
157a18893a
hex4e260842

1311115330 has 64 divisors (see below), whose sum is σ = 2856591360. Its totient is φ = 423244224.

The previous prime is 1311115319. The next prime is 1311115331. The reversal of 1311115330 is 335111131.

It is a super-2 number, since 2×13111153302 = 3438046817122017800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 1311115298 and 1311115307.

It is not an unprimeable number, because it can be changed into a prime (1311115331) 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, 219159 + ... + 225061.

It is an arithmetic number, because the mean of its divisors is an integer number (44634240).

Almost surely, 21311115330 is an apocalyptic number.

1311115330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1311115330 is an abundant number, since it is smaller than the sum of its proper divisors (1545476030).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311115330 is a wasteful number, since it uses less digits than its factorization.

1311115330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6103.

The product of its (nonzero) digits is 135, while the sum is 19.

The square root of 1311115330 is about 36209.3265609843. The cubic root of 1311115330 is about 1094.4946216346.

Adding to 1311115330 its reverse (335111131), we get a palindrome (1646226461).

It can be divided in two parts, 13111 and 15330, that added together give a triangular number (28441 = T238).

The spelling of 1311115330 in words is "one billion, three hundred eleven million, one hundred fifteen thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 167 190 266 334 665 835 1169 1330 1670 2338 3173 5845 5903 6346 11690 11806 15865 22211 29515 31730 41321 44422 59030 82642 111055 112157 206605 222110 224314 413210 560785 785099 985801 1121570 1570198 1971602 3925495 4929005 6900607 7850990 9858010 13801214 18730219 34503035 37460438 69006070 93651095 131111533 187302190 262223066 655557665 1311115330