Search a number
-
+
213117372750 = 23532707104971
BaseRepresentation
bin1100011001111011001…
…0010000100101001110
3202101002111221021002210
43012132302100211032
511442431021412000
6241523232531250
721253150531152
oct3063662204516
9671074837083
10213117372750
1182423223527
12353786b0b26
1317134b07cb9
14a45a281062
155824d5d350
hex319ec9094e

213117372750 has 64 divisors (see below), whose sum is σ = 532142537472. Its totient is φ = 56809764000.

The previous prime is 213117372701. The next prime is 213117372763. The reversal of 213117372750 is 57273711312.

213117372750 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2131173727503 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213117372699 and 213117372708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1977765 + ... + 2082735.

It is an arithmetic number, because the mean of its divisors is an integer number (8314727148).

Almost surely, 2213117372750 is an apocalyptic number.

213117372750 is an abundant number, since it is smaller than the sum of its proper divisors (319025164722).

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

213117372750 is a wasteful number, since it uses less digits than its factorization.

213117372750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107698 (or 107688 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 39.

The spelling of 213117372750 in words is "two hundred thirteen billion, one hundred seventeen million, three hundred seventy-two thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 750 2707 5414 8121 13535 16242 27070 40605 67675 81210 104971 135350 203025 209942 314913 338375 406050 524855 629826 676750 1015125 1049710 1574565 2030250 2624275 3149130 5248550 7872825 13121375 15745650 26242750 39364125 78728250 284156497 568312994 852469491 1420782485 1704938982 2841564970 4262347455 7103912425 8524694910 14207824850 21311737275 35519562125 42623474550 71039124250 106558686375 213117372750