Search a number
-
+
2124331032 = 2334189127191
BaseRepresentation
bin111111010011110…
…1011100000011000
312111001022012100010
41332213223200120
513322312043112
6550443441520
7103433341635
oct17647534030
95431265303
102124331032
119a014738a
124b35262a0
1327b159715
141621c118c
15c677163c
hex7e9eb818

2124331032 has 128 divisors (see below), whose sum is σ = 5573836800. Its totient is φ = 674150400.

The previous prime is 2124331031. The next prime is 2124331109. The reversal of 2124331032 is 2301334212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124331031) 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 31 ways as a sum of consecutive naturals, for example, 11122057 + ... + 11122247.

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

Almost surely, 22124331032 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 2124331032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786918400).

2124331032 is an abundant number, since it is smaller than the sum of its proper divisors (3449505768).

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

2124331032 is a wasteful number, since it uses less digits than its factorization.

2124331032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2124331032 is about 46090.4657385885. The cubic root of 2124331032 is about 1285.5058709655.

Adding to 2124331032 its reverse (2301334212), we get a palindrome (4425665244).

The spelling of 2124331032 in words is "two billion, one hundred twenty-four million, three hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 89 123 127 164 178 191 246 254 267 328 356 381 382 492 508 534 573 712 762 764 984 1016 1068 1146 1524 1528 2136 2292 3048 3649 4584 5207 7298 7831 10414 10947 11303 14596 15621 15662 16999 20828 21894 22606 23493 24257 29192 31242 31324 33909 33998 41656 43788 45212 46986 48514 50997 62484 62648 67818 67996 72771 87576 90424 93972 97028 101994 124968 135636 135992 145542 187944 194056 203988 271272 291084 407976 463423 582168 696959 926846 994537 1390269 1393918 1853692 1989074 2090877 2158873 2780538 2787836 2983611 3707384 3978148 4181754 4317746 5561076 5575672 5967222 6476619 7956296 8363508 8635492 11122152 11934444 12953238 16727016 17270984 23868888 25906476 51812952 88513793 177027586 265541379 354055172 531082758 708110344 1062165516 2124331032