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1303220131320 = 2335231283368029
BaseRepresentation
bin10010111101101101111…
…110010001010111111000
311121120211122121001222010
4102331231332101113320
5132322443323200240
62434405134125520
7163104003225342
oct22755576212770
94546748531863
101303220131320
11462768875548
121906a59508a0
1395b7c2940a3
144710d0d4292
1523d7699d280
hex12f6df915f8

1303220131320 has 128 divisors (see below), whose sum is σ = 4082836492800. Its totient is φ = 332155574784.

The previous prime is 1303220131277. The next prime is 1303220131321. The reversal of 1303220131320 is 231310223031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303220131321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3357066 + ... + 3725094.

It is an arithmetic number, because the mean of its divisors is an integer number (31897160100).

Almost surely, 21303220131320 is an apocalyptic number.

1303220131320 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 1303220131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041418246400).

1303220131320 is an abundant number, since it is smaller than the sum of its proper divisors (2779616361480).

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

1303220131320 is a wasteful number, since it uses less digits than its factorization.

1303220131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369349 (or 369345 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1303220131320 its reverse (231310223031), we get a palindrome (1534530354351).

The spelling of 1303220131320 in words is "one trillion, three hundred three billion, two hundred twenty million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1283 1380 2566 2760 3849 5132 6415 7698 10264 12830 15396 19245 25660 29509 30792 38490 51320 59018 76980 88527 118036 147545 153960 177054 236072 295090 354108 368029 442635 590180 708216 736058 885270 1104087 1180360 1472116 1770540 1840145 2208174 2944232 3541080 3680290 4416348 5520435 7360580 8464667 8832696 11040870 14721160 16929334 22081740 25394001 33858668 42323335 44163480 50788002 67717336 84646670 101576004 126970005 169293340 203152008 253940010 338586680 472181207 507880020 944362414 1015760040 1416543621 1888724828 2360906035 2833087242 3777449656 4721812070 5666174484 7082718105 9443624140 10860167761 11332348968 14165436210 18887248280 21720335522 28330872420 32580503283 43440671044 54300838805 56661744840 65161006566 86881342088 108601677610 130322013132 162902516415 217203355220 260644026264 325805032830 434406710440 651610065660 1303220131320