Search a number
-
+
212412335340 = 2235113214114633
BaseRepresentation
bin1100010111010011000…
…0110000010011101100
3202022021101021122121010
43011310300300103230
511440010024212330
6241325245305220
721226530026412
oct3056460602354
9668241248533
10212412335340
11820a1253487
1235200565210
1317051a23aba
14a3d07952b2
1557d2ee33b0
hex3174c304ec

212412335340 has 96 divisors (see below), whose sum is σ = 600339128256. Its totient is φ = 56111964160.

The previous prime is 212412335297. The next prime is 212412335341. The reversal of 212412335340 is 43533214212.

It is a super-2 number, since 2×2124123353402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 212412335298 and 212412335307.

It is not an unprimeable number, because it can be changed into a prime (212412335341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14508664 + ... + 14523296.

It is an arithmetic number, because the mean of its divisors is an integer number (6253532586).

Almost surely, 2212412335340 is an apocalyptic number.

212412335340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212412335340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300169564128).

212412335340 is an abundant number, since it is smaller than the sum of its proper divisors (387926792916).

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

212412335340 is a wasteful number, since it uses less digits than its factorization.

212412335340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16899 (or 16897 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 212412335340 its reverse (43533214212), we get a palindrome (255945549552).

The spelling of 212412335340 in words is "two hundred twelve billion, four hundred twelve million, three hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 1130 1356 1695 2141 2260 3390 4282 6423 6780 8564 10705 12846 14633 21410 25692 29266 32115 42820 43899 58532 64230 73165 87798 128460 146330 175596 219495 241933 292660 438990 483866 725799 877980 967732 1209665 1451598 1653529 2419330 2903196 3307058 3628995 4838660 4960587 6614116 7257990 8267645 9921174 14515980 16535290 19842348 24802935 31329253 33070580 49605870 62658506 93987759 99211740 125317012 156646265 187975518 313292530 375951036 469938795 626585060 939877590 1879755180 3540205589 7080411178 10620616767 14160822356 17701027945 21241233534 35402055890 42482467068 53103083835 70804111780 106206167670 212412335340