Search a number
-
+
212130121014 = 232710319384691
BaseRepresentation
bin1100010110001111110…
…0001100010100110110
3202021112201020200022200
43011203330030110312
511433420302333024
6241241244405330
721216532164210
oct3054374142466
9667481220280
10212130121014
1181a66a176a9
1235141b46846
1317008412586
14a3a50d15b0
1557b83492c9
hex3163f0c536

212130121014 has 96 divisors (see below), whose sum is σ = 533128687104. Its totient is φ = 59708482560.

The previous prime is 212130121013. The next prime is 212130121019. The reversal of 212130121014 is 410121031212.

212130121014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212130121013) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2462409 + ... + 2547099.

It is an arithmetic number, because the mean of its divisors is an integer number (5553423824).

Almost surely, 2212130121014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212130121014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266564343552).

212130121014 is an abundant number, since it is smaller than the sum of its proper divisors (320998566090).

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

212130121014 is a wasteful number, since it uses less digits than its factorization.

212130121014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85002 (or 84999 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 212130121014 its reverse (410121031212), we get a palindrome (622251152226).

The spelling of 212130121014 in words is "two hundred twelve billion, one hundred thirty million, one hundred twenty-one thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 103 126 193 206 309 386 579 618 721 927 1158 1351 1442 1737 1854 2163 2702 3474 4053 4326 6489 8106 12159 12978 19879 24318 39758 59637 84691 119274 139153 169382 178911 254073 278306 357822 417459 508146 592837 762219 834918 1185674 1252377 1524438 1778511 2504754 3557022 5335533 8723173 10671066 16345363 17446346 26169519 32690726 49036089 52339038 61062211 78508557 98072178 114417541 122124422 147108267 157017114 183186633 228835082 294216534 343252623 366373266 549559899 686505246 1029757869 1099119798 1683572389 2059515738 3367144778 5050717167 10101434334 11785006723 15152151501 23570013446 30304303002 35355020169 70710040338 106065060507 212130121014