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212412255132 = 223711241953873
BaseRepresentation
bin1100010111010011000…
…0011100101110011100
3202022021101010120120110
43011310300130232130
511440010014131012
6241325243450020
721226526243520
oct3056460345634
9668241116513
10212412255132
11820a11a91a0
1235200526910
13170519c643c
14a3d0773d80
1557d2ec973c
hex3174c1cb9c

212412255132 has 96 divisors (see below), whose sum is σ = 620491221504. Its totient is φ = 54943027200.

The previous prime is 212412255127. The next prime is 212412255149. The reversal of 212412255132 is 231552214212.

212412255132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2124122551322 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212412255132.

It is a congruent number.

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, 254253 + ... + 699620.

It is an arithmetic number, because the mean of its divisors is an integer number (6463450224).

Almost surely, 2212412255132 is an apocalyptic number.

212412255132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212412255132 is an abundant number, since it is smaller than the sum of its proper divisors (408078966372).

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

212412255132 is a wasteful number, since it uses less digits than its factorization.

212412255132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954139 (or 954137 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

Adding to 212412255132 its reverse (231552214212), we get a palindrome (443964469344).

The spelling of 212412255132 in words is "two hundred twelve billion, four hundred twelve million, two hundred fifty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 241 308 462 482 723 924 964 1446 1687 2651 2892 3374 5061 5302 6748 7953 10122 10604 15906 18557 20244 31812 37114 55671 74228 111342 222684 953873 1907746 2861619 3815492 5723238 6677111 10492603 11446476 13354222 20031333 20985206 26708444 31477809 40062666 41970412 62955618 73448221 80125332 125911236 146896442 220344663 229883393 293792884 440689326 459766786 689650179 881378652 919533572 1379300358 1609183751 2528717323 2758600716 3218367502 4827551253 5057434646 6436735004 7586151969 9655102506 10114869292 15172303938 17701021261 19310205012 30344607876 35402042522 53103063783 70804085044 106206127566 212412255132