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1303121101310 = 257217295394383
BaseRepresentation
bin10010111101101000000…
…100100000000111111110
311121120120202020211022222
4102331220010200013332
5132322243000220220
62434351235405342
7163101361413200
oct22755004400776
94546522224288
101303121101310
11462717986866
12190678753852
1395b648ccc52
14470ddcb6770
1523d6ce3ae25
hex12f681201fe

1303121101310 has 96 divisors (see below), whose sum is σ = 2988704511360. Its totient is φ = 406002766848.

The previous prime is 1303121101309. The next prime is 1303121101319. The reversal of 1303121101310 is 131011213031.

It is a super-2 number, since 2×13031211013102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303121101319) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2455622 + ... + 2938761.

It is an arithmetic number, because the mean of its divisors is an integer number (31132338660).

Almost surely, 21303121101310 is an apocalyptic number.

1303121101310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1303121101310 is an abundant number, since it is smaller than the sum of its proper divisors (1685583410050).

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

1303121101310 is a wasteful number, since it uses less digits than its factorization.

1303121101310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5394450 (or 5394443 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1303121101310 its reverse (131011213031), we get a palindrome (1434132314341).

The spelling of 1303121101310 in words is "one trillion, three hundred three billion, one hundred twenty-one million, one hundred one thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 17 29 34 35 49 58 70 85 98 119 145 170 203 238 245 290 406 490 493 595 833 986 1015 1190 1421 1666 2030 2465 2842 3451 4165 4930 6902 7105 8330 14210 17255 24157 34510 48314 120785 241570 5394383 10788766 26971915 37760681 53943830 75521362 91704511 156437107 183409022 188803405 264324767 312874214 377606810 458522555 528649534 641931577 782185535 917045110 1095059749 1283863154 1321623835 1564371070 2190119498 2643247670 2659430819 3209657885 4493521039 5318861638 5475298745 6419315770 7665418243 8987042078 10950597490 13297154095 15330836486 18616015733 22467605195 26594308190 37232031466 38327091215 44935210390 76654182430 93080078665 130312110131 186160157330 260624220262 651560550655 1303121101310