Search a number
-
+
1303410103140 = 2235611613220783
BaseRepresentation
bin10010111101111001010…
…010111101001101100100
311121121022220001122022110
4102331321102331031210
5132323340441300030
62434440042001020
7163111501035135
oct22757122751544
94547286048273
101303410103140
11462856029152
121907394a6170
1395bac749a52
144712a425c8c
1523d884c61b0
hex12f794bd364

1303410103140 has 96 divisors (see below), whose sum is σ = 3711693436416. Its totient is φ = 341664560640.

The previous prime is 1303410103133. The next prime is 1303410103141. The reversal of 1303410103140 is 413010143031.

It is not an unprimeable number, because it can be changed into a prime (1303410103141) by changing a digit.

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, 5793189 + ... + 6013971.

It is an arithmetic number, because the mean of its divisors is an integer number (38663473296).

Almost surely, 21303410103140 is an apocalyptic number.

1303410103140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303410103140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855846718208).

1303410103140 is an abundant number, since it is smaller than the sum of its proper divisors (2408283333276).

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

1303410103140 is a wasteful number, since it uses less digits than its factorization.

1303410103140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222469 (or 222467 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1303410103140 its reverse (413010143031), we get a palindrome (1716420246171).

The spelling of 1303410103140 in words is "one trillion, three hundred three billion, four hundred ten million, one hundred three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1613 1830 3226 3660 4839 6452 8065 9678 16130 19356 24195 32260 48390 96780 98393 196786 220783 295179 393572 441566 491965 590358 662349 883132 983930 1103915 1180716 1324698 1475895 1967860 2207830 2649396 2951790 3311745 4415660 5903580 6623490 13246980 13467763 26935526 40403289 53871052 67338815 80806578 134677630 161613156 202016445 269355260 356122979 404032890 712245958 808065780 1068368937 1424491916 1780614895 2136737874 3561229790 4273475748 5341844685 7122459580 10683689370 21367378740 21723501719 43447003438 65170505157 86894006876 108617508595 130341010314 217235017190 260682020628 325852525785 434470034380 651705051570 1303410103140