Search a number
-
+
13003020212 = 22713253139373
BaseRepresentation
bin11000001110000101…
…00101011110110100
31020120012110212102012
430013002211132310
5203112233121322
65550135503352
7640140563630
oct140702453664
936505425365
1013003020212
1155729585a6
12262a827b58
1312c2bbb600
148b4d13dc0
1551184bae2
hex3070a57b4

13003020212 has 144 divisors (see below), whose sum is σ = 28975605120. Its totient is φ = 4997251584.

The previous prime is 13003020211. The next prime is 13003020221. The reversal of 13003020212 is 21202030031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003020211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34860458 + ... + 34860830.

It is an arithmetic number, because the mean of its divisors is an integer number (201219480).

Almost surely, 213003020212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13003020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14487802560).

13003020212 is an abundant number, since it is smaller than the sum of its proper divisors (15972584908).

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

13003020212 is a wasteful number, since it uses less digits than its factorization.

13003020212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13003020212 its reverse (21202030031), we get a palindrome (34205050243).

It can be divided in two parts, 1300 and 3020212, that multiplied together give a square (3926275600 = 626602).

The spelling of 13003020212 in words is "thirteen billion, three million, twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 53 91 106 139 169 182 212 278 338 364 371 373 556 676 689 742 746 973 1183 1378 1484 1492 1807 1946 2366 2611 2756 3614 3892 4732 4823 4849 5222 7228 7367 8957 9646 9698 10444 12649 14734 17914 19292 19396 19769 23491 25298 29468 33943 35828 39538 46982 50596 51569 51847 62699 63037 67886 79076 93964 95771 103138 103694 125398 126074 135772 138383 164437 191542 206276 207388 250796 252148 256997 276766 328874 362929 383084 441259 513994 553532 657748 670397 674011 725858 882518 1027988 1245023 1340794 1348022 1451716 1765036 1798979 2490046 2681588 2696044 2747891 3340961 3597958 4718077 4980092 5495782 6681922 7195916 8715161 8762143 9436154 10991564 13363844 17430322 17524286 18872308 19235237 23386727 34860644 35048572 35722583 38470474 46773454 61335001 71445166 76940948 93546908 122670002 142890332 245340004 250058081 464393579 500116162 928787158 1000232324 1857574316 3250755053 6501510106 13003020212