Search a number
-
+
1313425006010 = 251373397348617
BaseRepresentation
bin10011000111001110001…
…110110001110110111010
311122120011211212102022222
4103013032032301312322
5133004343300143020
62443213520044042
7163614616226525
oct23071616616672
94576154772288
101313425006010
114670251a1987
12192673463622
1396b17554590
14477da547bbc
1524272829b25
hex131ce3b1dba

1313425006010 has 64 divisors (see below), whose sum is σ = 2587409328672. Its totient is φ = 477107490816.

The previous prime is 1313425006001. The next prime is 1313425006067. The reversal of 1313425006010 is 106005243131.

It can be written as a sum of positive squares in 16 ways, for example, as 26273492281 + 1287151513729 = 162091^2 + 1134527^2 .

It is a super-2 number, since 2×13134250060102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3593222 + ... + 3941838.

Almost surely, 21313425006010 is an apocalyptic number.

1313425006010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1313425006010 is a deficient number, since it is larger than the sum of its proper divisors (1273984322662).

1313425006010 is a wasteful number, since it uses less digits than its factorization.

1313425006010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349107.

The product of its (nonzero) digits is 2160, while the sum is 26.

The spelling of 1313425006010 in words is "one trillion, three hundred thirteen billion, four hundred twenty-five million, six thousand, ten".

Divisors: 1 2 5 10 13 26 65 73 130 146 365 397 730 794 949 1898 1985 3970 4745 5161 9490 10322 25805 28981 51610 57962 144905 289810 348617 376753 697234 753506 1743085 1883765 3486170 3767530 4532021 9064042 22660105 25449041 45320210 50898082 127245205 138400949 254490410 276801898 330837533 661675066 692004745 1384009490 1654187665 1799212337 3308375330 3598424674 8996061685 10103269277 17992123370 20206538554 50516346385 101032692770 131342500601 262685001202 656712503005 1313425006010