Search a number
-
+
202130331210 = 232523479203857
BaseRepresentation
bin1011110000111111101…
…0000001011001001010
3201022201210212201112100
42330033322001121022
511302430331044320
6232505110254230
720413656316113
oct2741772013112
9638653781470
10202130331210
11787a5336605
1233211057376
13160a37999a2
149ad6dc520a
1553d04cd790
hex2f0fe8164a

202130331210 has 96 divisors (see below), whose sum is σ = 549535933440. Its totient is φ = 51449992704.

The previous prime is 202130331163. The next prime is 202130331259. The reversal of 202130331210 is 12133031202.

202130331210 is a `hidden beast` number, since 20 + 21 + 303 + 312 + 10 = 666.

202130331210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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, 889602 + ... + 1093458.

It is an arithmetic number, because the mean of its divisors is an integer number (5724332640).

Almost surely, 2202130331210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202130331210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274767966720).

202130331210 is an abundant number, since it is smaller than the sum of its proper divisors (347405602230).

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

202130331210 is a wasteful number, since it uses less digits than its factorization.

202130331210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204372 (or 204369 counting only the distinct ones).

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

Adding to 202130331210 its reverse (12133031202), we get a palindrome (214263362412).

The spelling of 202130331210 in words is "two hundred two billion, one hundred thirty million, three hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 479 690 958 1035 1437 2070 2395 2874 4311 4790 7185 8622 11017 14370 21555 22034 33051 43110 55085 66102 99153 110170 165255 198306 203857 330510 407714 495765 611571 991530 1019285 1223142 1834713 2038570 3057855 3669426 4688711 6115710 9173565 9377422 14066133 18347130 23443555 28132266 42198399 46887110 70330665 84396798 97647503 140661330 195295006 210991995 292942509 421983990 488237515 585885018 878827527 976475030 1464712545 1757655054 2245892569 2929425090 4394137635 4491785138 6737677707 8788275270 11229462845 13475355414 20213033121 22458925690 33688388535 40426066242 67376777070 101065165605 202130331210