Search a number
-
+
1312142465010 = 235133364467859
BaseRepresentation
bin10011000110000001110…
…010010001011111110010
311122102212110112120211110
4103012001302101133302
5132444231432340020
62442442342454150
7163541053633116
oct23060162213762
94572773476743
101312142465010
11466527239943
12192375a34356
1396971920290
144771808d746
15241e9e378e0
hex13181c917f2

1312142465010 has 32 divisors (see below), whose sum is σ = 3391383602880. Its totient is φ = 322988914368.

The previous prime is 1312142464981. The next prime is 1312142465047. The reversal of 1312142465010 is 105642412131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1682233540 + ... + 1682234319.

It is an arithmetic number, because the mean of its divisors is an integer number (105980737590).

Almost surely, 21312142465010 is an apocalyptic number.

1312142465010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1312142465010 is an abundant number, since it is smaller than the sum of its proper divisors (2079241137870).

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

1312142465010 is a wasteful number, since it uses less digits than its factorization.

1312142465010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364467882.

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 1312142465010 its reverse (105642412131), we get a palindrome (1417784877141).

The spelling of 1312142465010 in words is "one trillion, three hundred twelve billion, one hundred forty-two million, four hundred sixty-five thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 3364467859 6728935718 10093403577 16822339295 20186807154 33644678590 43738082167 50467017885 87476164334 100934035770 131214246501 218690410835 262428493002 437380821670 656071232505 1312142465010