Search a number
-
+
1213013313300 = 2235247140961057
BaseRepresentation
bin10001101001101101001…
…110100100011100010100
311021221222222112220212010
4101221231032210130110
5124333222402011200
62325130045024220
7153431413016655
oct21515516443424
94257888486763
101213013313300
11428488434a78
1217710b855070
138a50466b3a9
14429d295b52c
15218473bc150
hex11a6d3a4714

1213013313300 has 144 divisors (see below), whose sum is σ = 3586927921920. Its totient is φ = 316358000640.

The previous prime is 1213013313271. The next prime is 1213013313307. The reversal of 1213013313300 is 33133103121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213013313307) 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, 19836372 + ... + 19897428.

It is an arithmetic number, because the mean of its divisors is an integer number (24909221680).

Almost surely, 21213013313300 is an apocalyptic number.

1213013313300 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 1213013313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793463960960).

1213013313300 is an abundant number, since it is smaller than the sum of its proper divisors (2373914608620).

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

1213013313300 is a wasteful number, since it uses less digits than its factorization.

1213013313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62530 (or 62523 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1213013313300 its reverse (33133103121), we get a palindrome (1246146416421).

The spelling of 1213013313300 in words is "one trillion, two hundred thirteen billion, thirteen million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1409 1410 2350 2818 2820 3525 4227 4700 5636 7045 7050 8454 14090 14100 16908 21135 28180 35225 42270 61057 66223 70450 84540 105675 122114 132446 140900 183171 198669 211350 244228 264892 305285 331115 366342 397338 422700 610570 662230 732684 794676 915855 993345 1221140 1324460 1526425 1655575 1831710 1986690 2869679 3052850 3311150 3663420 3973380 4579275 4966725 5739358 6105700 6622300 8609037 9158550 9933450 11478716 14348395 17218074 18317100 19866900 28696790 34436148 43045185 57393580 71741975 86029313 86090370 143483950 172058626 172180740 215225925 258087939 286967900 344117252 430146565 430451850 516175878 860293130 860903700 1032351756 1290439695 1720586260 2150732825 2580879390 4043377711 4301465650 5161758780 6452198475 8086755422 8602931300 12130133133 12904396950 16173510844 20216888555 24260266266 25808793900 40433777110 48520532532 60650665665 80867554220 101084442775 121301331330 202168885550 242602662660 303253328325 404337771100 606506656650 1213013313300