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2124025134 = 2371129592687
BaseRepresentation
bin111111010011010…
…0000110100101110
312111000201122201120
41332212200310232
513322222301014
6550433121410
7103430626050
oct17646406456
95430648646
102124025134
1199aa58580
124b33b9266
1327b08040a
141621418d0
15c6710ba9
hex7e9a0d2e

2124025134 has 128 divisors (see below), whose sum is σ = 5573836800. Its totient is φ = 523447680.

The previous prime is 2124025133. The next prime is 2124025147. The reversal of 2124025134 is 4315204212.

It is a super-2 number, since 2×21240251342 = 9022965539727435912, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124025133) 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 63 ways as a sum of consecutive naturals, for example, 789139 + ... + 791825.

It is an arithmetic number, because the mean of its divisors is an integer number (43545600).

Almost surely, 22124025134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124025134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786918400).

2124025134 is an abundant number, since it is smaller than the sum of its proper divisors (3449811666).

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

2124025134 is a wasteful number, since it uses less digits than its factorization.

2124025134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2124025134 is about 46087.1471670790. The cubic root of 2124025134 is about 1285.4441648652. Note that the first 3 decimals are identical.

Adding to 2124025134 its reverse (4315204212), we get a palindrome (6439229346).

The spelling of 2124025134 in words is "two billion, one hundred twenty-four million, twenty-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 58 59 66 77 87 118 154 174 177 203 231 319 354 406 413 462 609 638 649 826 957 1218 1239 1298 1711 1914 1947 2233 2478 2687 3422 3894 4466 4543 5133 5374 6699 8061 9086 10266 11977 13398 13629 16122 18809 18821 23954 27258 29557 35931 37618 37642 56427 56463 59114 71862 77923 88671 112854 112926 131747 155846 158533 177342 206899 233769 263494 317066 395241 413798 467538 475599 545461 620697 790482 857153 951198 1090922 1109731 1241394 1636383 1714306 1743863 2219462 2571459 3272766 3329193 3487726 4597457 5142918 5231589 6000071 6658386 9194914 10463178 12000142 12207041 13792371 18000213 24414082 27584742 32182199 36000426 36621123 50572027 64364398 73242246 96546597 101144054 151716081 193093194 303432162 354004189 708008378 1062012567 2124025134