Search a number
-
+
210132231330 = 235717347169627
BaseRepresentation
bin1100001110110011011…
…0110110010010100010
3202002101110212100220110
43003230312312102202
511420322322400310
6240311114552150
721116162332020
oct3035466662242
9662343770813
10210132231330
11811311915aa
1234884a38656
1316a7a526928
14a255a25710
1556ecc51d20
hex30ecdb64a2

210132231330 has 128 divisors (see below), whose sum is σ = 612028680192. Its totient is φ = 45074377728.

The previous prime is 210132231329. The next prime is 210132231349. The reversal of 210132231330 is 33132231012.

210132231330 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 (21).

It is a junction number, because it is equal to n+sod(n) for n = 210132231297 and 210132231306.

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 63 ways as a sum of consecutive naturals, for example, 1153977 + ... + 1323603.

It is an arithmetic number, because the mean of its divisors is an integer number (4781474064).

Almost surely, 2210132231330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210132231330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306014340096).

210132231330 is an abundant number, since it is smaller than the sum of its proper divisors (401896448862).

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

210132231330 is a wasteful number, since it uses less digits than its factorization.

210132231330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170008.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 210132231330 its reverse (33132231012), we get a palindrome (243264462342).

The spelling of 210132231330 in words is "two hundred ten billion, one hundred thirty-two million, two hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 347 357 510 595 694 714 1041 1190 1735 1785 2082 2429 3470 3570 4858 5205 5899 7287 10410 11798 12145 14574 17697 24290 29495 35394 36435 41293 58990 72870 82586 88485 123879 169627 176970 206465 247758 339254 412930 508881 619395 848135 1017762 1187389 1238790 1696270 2374778 2544405 2883659 3562167 5088810 5767318 5936945 7124334 8650977 11873890 14418295 17301954 17810835 20185613 28836590 35621670 40371226 43254885 58860569 60556839 86509770 100928065 117721138 121113678 176581707 201856130 294302845 302784195 353163414 412023983 588605690 605568390 824047966 882908535 1000629673 1236071949 1765817070 2001259346 2060119915 2472143898 3001889019 4120239830 5003148365 6003778038 6180359745 7004407711 10006296730 12360719490 14008815422 15009445095 21013223133 30018890190 35022038555 42026446266 70044077110 105066115665 210132231330