Search a number
-
+
1020131314155 = 3455214834631
BaseRepresentation
bin11101101100001001001…
…00001000100111101011
310121112010201001010220000
432312010210020213223
5113203212104023110
62100350350234043
7133462543046022
oct16660444104753
93545121033800
101020131314155
113636a9594208
1214585bab5923
1375275c2c155
1437535d518b9
151b808cc01c0
hexed849089eb

1020131314155 has 40 divisors (see below), whose sum is σ = 1832190158304. Its totient is φ = 543025641600.

The previous prime is 1020131314121. The next prime is 1020131314199. The reversal of 1020131314155 is 5514131310201.

1020131314155 is a `hidden beast` number, since 1 + 0 + 201 + 313 + 141 + 5 + 5 = 666.

It is a de Polignac number, because none of the positive numbers 2k-1020131314155 is a prime.

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

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 39 ways as a sum of consecutive naturals, for example, 2206311 + ... + 2628320.

Almost surely, 21020131314155 is an apocalyptic number.

1020131314155 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1020131314155 is a deficient number, since it is larger than the sum of its proper divisors (812058844149).

1020131314155 is an equidigital number, since it uses as much as digits as its factorization.

1020131314155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4835169 (or 4835160 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 1020131314155 its reverse (5514131310201), we get a palindrome (6534262624356).

The spelling of 1020131314155 in words is "one trillion, twenty billion, one hundred thirty-one million, three hundred fourteen thousand, one hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 521 1563 2605 4689 7815 14067 23445 42201 70335 211005 4834631 14503893 24173155 43511679 72519465 130535037 217558395 391605111 652675185 1958025555 2518842751 7556528253 12594213755 22669584759 37782641265 68008754277 113347923795 204026262831 340043771385 1020131314155