Search a number
-
+
1313223000210 = 2325116317209987
BaseRepresentation
bin10011000111000010001…
…100001100000010010010
311122112122202202110110200
4103013002030030002102
5133003440042001320
62443141502240030
7163606614216402
oct23070214140222
94575582673420
101313223000210
11466a31169a40
12192617886016
1396ab4747314
14477bb7a2802
152425ec26290
hex131c230c092

1313223000210 has 96 divisors (see below), whose sum is σ = 3725385348672. Its totient is φ = 318305178240.

The previous prime is 1313223000113. The next prime is 1313223000217. The reversal of 1313223000210 is 120003223131.

1313223000210 is a `hidden beast` number, since 1 + 31 + 322 + 300 + 0 + 2 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1313223000217) 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, 6148837 + ... + 6358823.

It is an arithmetic number, because the mean of its divisors is an integer number (38806097382).

Almost surely, 21313223000210 is an apocalyptic number.

1313223000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1313223000210 is an abundant number, since it is smaller than the sum of its proper divisors (2412162348462).

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

1313223000210 is a wasteful number, since it uses less digits than its factorization.

1313223000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216328 (or 216325 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1313223000210 its reverse (120003223131), we get a palindrome (1433226223341).

The spelling of 1313223000210 in words is "one trillion, three hundred thirteen billion, two hundred twenty-three million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 6317 12634 18951 31585 37902 56853 63170 69487 94755 113706 138974 189510 208461 209987 284265 347435 416922 419974 568530 625383 629961 694870 1042305 1049935 1250766 1259922 1889883 2084610 2099870 2309857 3126915 3149805 3779766 4619714 6253830 6299610 6929571 9449415 11549285 13859142 18898830 20788713 23098570 34647855 41577426 69295710 103943565 207887130 1326487879 2652975758 3979463637 6632439395 7958927274 11938390911 13264878790 14591366669 19897318185 23876781822 29182733338 39794636370 43774100007 59691954555 72956833345 87548200014 119383909110 131322300021 145913666690 218870500035 262644600042 437741000070 656611500105 1313223000210