Search a number
-
+
212120322330 = 23572236273893
BaseRepresentation
bin1100010110001101011…
…0110100000100011010
3202021112000210212001110
43011203112310010122
511433410300303310
6241240254401150
721216352663500
oct3054326640432
9667460725043
10212120322330
1181a61434814
123513a8001b6
1317006391537
14a3a3aa0670
1557b7560d20
hex31635b411a

212120322330 has 96 divisors (see below), whose sum is σ = 617953463424. Its totient is φ = 46376609664.

The previous prime is 212120322319. The next prime is 212120322341. The reversal of 212120322330 is 33223021212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212120322319) and next prime (212120322341).

It is a super-2 number, since 2×2121203223302 (a number of 23 digits) contains 22 as substring.

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 = 212120322297 and 212120322306.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3103137 + ... + 3170756.

It is an arithmetic number, because the mean of its divisors is an integer number (6437015244).

Almost surely, 2212120322330 is an apocalyptic number.

212120322330 is an abundant number, since it is smaller than the sum of its proper divisors (405833141094).

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

212120322330 is a wasteful number, since it uses less digits than its factorization.

212120322330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6273940 (or 6273933 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 212120322330 its reverse (33223021212), we get a palindrome (245343343542).

The spelling of 212120322330 in words is "two hundred twelve billion, one hundred twenty million, three hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 49 69 70 98 105 115 138 147 161 210 230 245 294 322 345 483 490 690 735 805 966 1127 1470 1610 2254 2415 3381 4830 5635 6762 11270 16905 33810 6273893 12547786 18821679 31369465 37643358 43917251 62738930 87834502 94108395 131751753 144299539 188216790 219586255 263503506 288599078 307420757 432898617 439172510 614841514 658758765 721497695 865797234 922262271 1010096773 1317517530 1442995390 1537103785 1844524542 2020193546 2164493085 3030290319 3074207570 4328986170 4611311355 5050483865 6060580638 7070677411 9222622710 10100967730 14141354822 15151451595 21212032233 30302903190 35353387055 42424064466 70706774110 106060161165 212120322330