Search a number
-
+
212130133320 = 233571511672423
BaseRepresentation
bin1100010110001111110…
…0001111010101001000
3202021112201021022012110
43011203330033111020
511433420303231240
6241241244542320
721216532245120
oct3054374172510
9667481238173
10212130133320
1181a66a25976
1235141b519a0
1317008418061
14a3a50d5c80
1557b834cc80
hex3163f0f548

212130133320 has 128 divisors (see below), whose sum is σ = 732120330240. Its totient is φ = 48165753600.

The previous prime is 212130133291. The next prime is 212130133349. The reversal of 212130133320 is 23331031212.

212130133320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212130133291) and next prime (212130133349).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 709372 + ... + 963051.

It is an arithmetic number, because the mean of its divisors is an integer number (5719690080).

Almost surely, 2212130133320 is an apocalyptic number.

212130133320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212130133320 is an abundant number, since it is smaller than the sum of its proper divisors (519990196920).

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

212130133320 is a wasteful number, since it uses less digits than its factorization.

212130133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672595 (or 1672591 counting only the distinct ones).

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

Adding to 212130133320 its reverse (23331031212), we get a palindrome (235461164532).

The spelling of 212130133320 in words is "two hundred twelve billion, one hundred thirty million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 151 168 210 280 302 420 453 604 755 840 906 1057 1208 1510 1812 2114 2265 3020 3171 3624 4228 4530 5285 6040 6342 8456 9060 10570 12684 15855 18120 21140 25368 31710 42280 63420 126840 1672423 3344846 5017269 6689692 8362115 10034538 11706961 13379384 16724230 20069076 23413922 25086345 33448460 35120883 40138152 46827844 50172690 58534805 66896920 70241766 93655688 100345380 117069610 140483532 175604415 200690760 234139220 252535873 280967064 351208830 468278440 505071746 702417660 757607619 1010143492 1262679365 1404835320 1515215238 1767751111 2020286984 2525358730 3030430476 3535502222 3788038095 5050717460 5303253333 6060860952 7071004444 7576076190 8838755555 10101434920 10606506666 14142008888 15152152380 17677511110 21213013332 26516266665 30304304760 35355022220 42426026664 53032533330 70710044440 106065066660 212130133320