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1303201030100 = 2252194380919717
BaseRepresentation
bin10010111101101100110…
…101011001111111010100
311121120210022122122000112
4102331230311121333110
5132322423430430400
62434403212502152
7163103351661554
oct22755465317724
94546708578015
101303201030100
11462759009512
1219069b47a958
1395b78336aa8
144710a761164
1523d74e78835
hex12f6cd59fd4

1303201030100 has 144 divisors (see below), whose sum is σ = 3049932916800. Its totient is φ = 481739166720.

The previous prime is 1303201030069. The next prime is 1303201030133. The reversal of 1303201030100 is 10301023031.

It is a super-2 number, since 2×13032010301002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66085442 + ... + 66105158.

It is an arithmetic number, because the mean of its divisors is an integer number (21180089700).

Almost surely, 21303201030100 is an apocalyptic number.

1303201030100 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 1303201030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524966458400).

1303201030100 is an abundant number, since it is smaller than the sum of its proper divisors (1746731886700).

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

1303201030100 is a wasteful number, since it uses less digits than its factorization.

1303201030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20602 (or 20595 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 1303201030100 its reverse (10301023031), we get a palindrome (1313502053131).

The spelling of 1303201030100 in words is "one trillion, three hundred three billion, two hundred one million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 43 50 76 86 95 100 172 190 215 380 430 475 809 817 860 950 1075 1618 1634 1900 2150 3236 3268 4045 4085 4300 8090 8170 15371 16180 16340 19717 20225 20425 30742 34787 39434 40450 40850 61484 69574 76855 78868 80900 81700 98585 139148 153710 173935 197170 307420 347870 374623 384275 394340 492925 660953 695740 749246 768550 847831 869675 985850 1321906 1498492 1537100 1695662 1739350 1873115 1971700 2643812 3304765 3391324 3478700 3746230 4239155 6609530 7492460 8478310 9365575 13219060 15951053 16108789 16523825 16956620 18731150 21195775 31902106 32217578 33047650 37462300 42391550 63804212 64435156 66095300 79755265 80543945 84783100 159510530 161087890 303070007 319021060 322175780 398776325 402719725 606140014 685895279 797552650 805439450 1212280028 1371790558 1515350035 1595105300 1610878900 2743581116 3030700070 3429476395 6061400140 6858952790 7576750175 13032010301 13717905580 15153500350 17147381975 26064020602 30307000700 34294763950 52128041204 65160051505 68589527900 130320103010 260640206020 325800257525 651600515050 1303201030100