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2124270434 = 2112134143383
BaseRepresentation
bin111111010011101…
…1100101101100010
312111001012010012202
41332213130231202
513322303123214
6550442253202
7103433000156
oct17647345542
95431163182
102124270434
119a0105900
124b34b7202
1327b137c70
141621a7066
15c675d6de
hex7e9dcb62

2124270434 has 96 divisors (see below), whose sum is σ = 3964004352. Its totient is φ = 847123200.

The previous prime is 2124270403. The next prime is 2124270439. The reversal of 2124270434 is 4340724212.

It is a junction number, because it is equal to n+sod(n) for n = 2124270397 and 2124270406.

It is not an unprimeable number, because it can be changed into a prime (2124270439) 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, 5546207 + ... + 5546589.

It is an arithmetic number, because the mean of its divisors is an integer number (41291712).

Almost surely, 22124270434 is an apocalyptic number.

2124270434 is a deficient number, since it is larger than the sum of its proper divisors (1839733918).

2124270434 is a wasteful number, since it uses less digits than its factorization.

2124270434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 2124270434 is about 46089.8083528235. The cubic root of 2124270434 is about 1285.4936475370.

Adding to 2124270434 its reverse (4340724212), we get a palindrome (6464994646).

The spelling of 2124270434 in words is "two billion, one hundred twenty-four million, two hundred seventy thousand, four hundred thirty-four".

Divisors: 1 2 11 13 22 26 41 43 82 86 121 143 242 286 383 451 473 533 559 766 902 946 1066 1118 1573 1763 3146 3526 4213 4961 4979 5203 5863 6149 8426 9922 9958 10406 11726 12298 15703 16469 19393 22919 31406 32938 38786 45838 46343 54769 64493 67639 92686 109538 128986 135278 172733 181159 204139 213323 214097 252109 345466 362318 408278 426646 428194 504218 602459 675229 1204918 1350458 1900063 1992749 2245529 2355067 2773199 3800126 3985498 4491058 4710134 5546398 7427519 8777977 14855038 17555954 24700819 25905737 49401638 51811474 81702709 96557747 163405418 193115494 1062135217 2124270434