Search a number
-
+
131212213020200 = 235213433211164937
BaseRepresentation
bin11101110101011000111001…
…010110001110011000101000
3122012120202122201200002212202
4131311120321112032120220
5114144240103013121300
61143022020345555332
736431524646314424
oct3565307126163050
9565522581602782
10131212213020200
1138898872611144
12128719807a5b48
13582a34919a160
1424589c2715b84
1510281e6581ad5
hex77563958e628

131212213020200 has 96 divisors (see below), whose sum is σ = 328543060674360. Its totient is φ = 48446426419200.

The previous prime is 131212213020193. The next prime is 131212213020293. The reversal of 131212213020200 is 2020312212131.

It can be written as a sum of positive squares in 12 ways, for example, as 4408983658564 + 126803229361636 = 2099758^2 + 11260694^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112052132 + ... + 113217068.

Almost surely, 2131212213020200 is an apocalyptic number.

131212213020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131212213020200 is an abundant number, since it is smaller than the sum of its proper divisors (197330847654160).

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

131212213020200 is a wasteful number, since it uses less digits than its factorization.

131212213020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208287 (or 1208278 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 131212213020200 its reverse (2020312212131), we get a palindrome (133232525232331).

The spelling of 131212213020200 in words is "one hundred thirty-one trillion, two hundred twelve billion, two hundred thirteen million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 43321 86642 173284 216605 346568 433210 563173 866420 1083025 1126346 1164937 1732840 2166050 2252692 2329874 2815865 4332100 4505384 4659748 5631730 5824685 8664200 9319496 11263460 11649370 14079325 15144181 22526920 23298740 28158650 29123425 30288362 46597480 56317300 58246850 60576724 75720905 112634600 116493700 121153448 151441810 232987400 302883620 378604525 605767240 757209050 1514418100 3028836200 50466235777 100932471554 201864943108 252331178885 403729886216 504662357770 656061065101 1009324715540 1261655894425 1312122130202 2018649431080 2523311788850 2624244260404 3280305325505 5046623577700 5248488520808 6560610651010 10093247155400 13121221302020 16401526627525 26242442604040 32803053255050 65606106510100 131212213020200