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2543324130 = 2335233711069
BaseRepresentation
bin1001011110011000…
…0000101111100010
320120020201020211000
42113212000233202
520202042333010
61100212132430
7120011620104
oct22746005742
96506636730
102543324130
111095705076
125ab907116
13316bbb029
141a1acb574
15ed4377c0
hex97980be2

2543324130 has 128 divisors (see below), whose sum is σ = 7269004800. Its totient is φ = 631141632.

The previous prime is 2543324123. The next prime is 2543324137. The reversal of 2543324130 is 314233452.

It is an interprime number because it is at equal distance from previous prime (2543324123) and next prime (2543324137).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2543324094 and 2543324103.

It is not an unprimeable number, because it can be changed into a prime (2543324137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224236 + ... + 235304.

It is an arithmetic number, because the mean of its divisors is an integer number (56789100).

Almost surely, 22543324130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2543324130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3634502400).

2543324130 is an abundant number, since it is smaller than the sum of its proper divisors (4725680670).

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

2543324130 is a wasteful number, since it uses less digits than its factorization.

2543324130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11145 (or 11139 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2543324130 is about 50431.3804094237. The cubic root of 2543324130 is about 1365.0039367113.

Adding to 2543324130 its reverse (314233452), we get a palindrome (2857557582).

The spelling of 2543324130 in words is "two billion, five hundred forty-three million, three hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 37 45 46 54 69 74 90 111 115 135 138 185 207 222 230 270 333 345 370 414 555 621 666 690 851 999 1035 1110 1242 1665 1702 1998 2070 2553 3105 3330 4255 4995 5106 6210 7659 8510 9990 11069 12765 15318 22138 22977 25530 33207 38295 45954 55345 66414 76590 99621 110690 114885 166035 199242 229770 254587 298863 332070 409553 498105 509174 597726 763761 819106 996210 1228659 1272935 1494315 1527522 2047765 2291283 2457318 2545870 2988630 3685977 3818805 4095530 4582566 6143295 6873849 7371954 7637610 9419719 11057931 11456415 12286590 13747698 18429885 18839438 22115862 22912830 28259157 34369245 36859770 47098595 55289655 56518314 68738490 84777471 94197190 110579310 141295785 169554942 254332413 282591570 423887355 508664826 847774710 1271662065 2543324130