Search a number
-
+
2131321212 = 22321737611543
BaseRepresentation
bin111111100001001…
…0110000101111100
312111112110100001200
41333002112011330
513331104234322
6551253335500
7103546634316
oct17702260574
95445410050
102131321212
119a4091199
124b5937590
1327c736317
141630c07b6
15c71a28ac
hex7f09617c

2131321212 has 144 divisors (see below), whose sum is σ = 5958493632. Its totient is φ = 639498240.

The previous prime is 2131321211. The next prime is 2131321223. The reversal of 2131321212 is 2121231312.

2131321212 is a `hidden beast` number, since 2 + 131 + 321 + 212 = 666.

It is a super-2 number, since 2×21313212122 = 9085060217442297888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131321211) 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 47 ways as a sum of consecutive naturals, for example, 1380513 + ... + 1382055.

It is an arithmetic number, because the mean of its divisors is an integer number (41378428).

Almost surely, 22131321212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131321212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979246816).

2131321212 is an abundant number, since it is smaller than the sum of its proper divisors (3827172420).

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

2131321212 is a wasteful number, since it uses less digits than its factorization.

2131321212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1663 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2131321212 is about 46166.2345443074. The cubic root of 2131321212 is about 1286.9143267918.

Adding to 2131321212 its reverse (2121231312), we get a palindrome (4252552524).

The spelling of 2131321212 in words is "two billion, one hundred thirty-one million, three hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 61 68 74 102 111 122 148 153 183 204 222 244 306 333 366 444 549 612 629 666 732 1037 1098 1258 1332 1543 1887 2074 2196 2257 2516 3086 3111 3774 4148 4514 4629 5661 6172 6222 6771 7548 9028 9258 9333 11322 12444 13542 13887 18516 18666 20313 22644 26231 27084 27774 37332 38369 40626 52462 55548 57091 76738 78693 81252 94123 104924 114182 115107 153476 157386 171273 188246 228364 230214 236079 282369 314772 342546 345321 376492 460428 472158 513819 564738 685092 690642 847107 944316 970547 1027638 1129476 1381284 1600091 1694214 1941094 2055276 2911641 3200182 3388428 3482551 3882188 4800273 5823282 6400364 6965102 8734923 9600546 10447653 11646564 13930204 14400819 17469846 19201092 20895306 28801638 31342959 34939692 41790612 57603276 59203367 62685918 118406734 125371836 177610101 236813468 355220202 532830303 710440404 1065660606 2131321212