Search a number
-
+
212043320442 = 232103337463733
BaseRepresentation
bin1100010101111011000…
…1000100110001111010
3202021022122220202022200
43011132301010301322
511433231042223232
6241224504131030
721214426325262
oct3053661046172
9667278822280
10212043320442
1181a21a21098
1235118a66a76
1316cc34409a5
14a3977787a2
1557b090077c
hex315ec44c7a

212043320442 has 96 divisors (see below), whose sum is σ = 466905174528. Its totient is φ = 69541452288.

The previous prime is 212043320413. The next prime is 212043320471. The reversal of 212043320442 is 244023340212.

212043320442 is a `hidden beast` number, since 2 + 1 + 20 + 433 + 204 + 4 + 2 = 666.

212043320442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212043320413) and next prime (212043320471).

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 47 ways as a sum of consecutive naturals, for example, 289281108 + ... + 289281840.

It is an arithmetic number, because the mean of its divisors is an integer number (4863595568).

Almost surely, 2212043320442 is an apocalyptic number.

212043320442 is an abundant number, since it is smaller than the sum of its proper divisors (254861854086).

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

212043320442 is a wasteful number, since it uses less digits than its factorization.

212043320442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 212043320442 its reverse (244023340212), we get a palindrome (456066660654).

The spelling of 212043320442 in words is "two hundred twelve billion, forty-three million, three hundred twenty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 103 206 309 337 463 618 674 733 926 927 1011 1389 1466 1854 2022 2199 2778 3033 4167 4398 6066 6597 8334 13194 34711 47689 69422 75499 95378 104133 143067 150998 156031 208266 226497 247021 286134 312062 312399 339379 429201 452994 468093 494042 624798 678758 679491 741063 858402 936186 1018137 1358982 1404279 1482126 2036274 2223189 2808558 3054411 4446378 6108822 16071193 25443163 32142386 34956037 48213579 50886326 69912074 76329489 96427158 104868111 114370723 144640737 152658978 209736222 228741446 228988467 289281474 314604333 343112169 457976934 629208666 686224338 1029336507 2058673014 11780184469 23560368938 35340553407 70681106814 106021660221 212043320442