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1311330030 = 235196734337
BaseRepresentation
bin100111000101001…
…0100111011101110
310101101111110121220
41032022110323232
510141200030110
6334042204210
744332056423
oct11612247356
93341443556
101311330030
1161323672a
123071b3666
1317b8a403a
14c622dd4a
157a1cc370
hex4e294eee

1311330030 has 64 divisors (see below), whose sum is σ = 3362376960. Its totient is φ = 326329344.

The previous prime is 1311330017. The next prime is 1311330067. The reversal of 1311330030 is 300331131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 1311329991 and 1311330009.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21022 + ... + 55358.

It is an arithmetic number, because the mean of its divisors is an integer number (52537140).

Almost surely, 21311330030 is an apocalyptic number.

1311330030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311330030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681188480).

1311330030 is an abundant number, since it is smaller than the sum of its proper divisors (2051046930).

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

1311330030 is a wasteful number, since it uses less digits than its factorization.

1311330030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34433.

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 1311330030 is about 36212.2911454108. The cubic root of 1311330030 is about 1094.5543608923.

Adding to 1311330030 its reverse (300331131), we get a palindrome (1611661161).

The spelling of 1311330030 in words is "one billion, three hundred eleven million, three hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 67 95 114 134 190 201 285 335 402 570 670 1005 1273 2010 2546 3819 6365 7638 12730 19095 34337 38190 68674 103011 171685 206022 343370 515055 652403 1030110 1304806 1957209 2300579 3262015 3914418 4601158 6524030 6901737 9786045 11502895 13803474 19572090 23005790 34508685 43711001 69017370 87422002 131133003 218555005 262266006 437110010 655665015 1311330030