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103230013224 = 2331326910311193
BaseRepresentation
bin110000000100011111…
…1001111111100101000
3100212110021111000102010
41200020333033330220
53142403340410344
6115231225235520
710313064430452
oct1401077177450
9325407430363
10103230013224
113a863718918
121800b632ba0
139971a59280
144dd401d2d2
152a42ab58b9
hex1808fcff28

103230013224 has 128 divisors (see below), whose sum is σ = 279464774400. Its totient is φ = 31587809280.

The previous prime is 103230013193. The next prime is 103230013261. The reversal of 103230013224 is 422310032301.

It is a self number, because there is not a number n which added to its sum of digits gives 103230013224.

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 31 ways as a sum of consecutive naturals, for example, 86529172 + ... + 86530364.

It is an arithmetic number, because the mean of its divisors is an integer number (2183318550).

Almost surely, 2103230013224 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 103230013224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139732387200).

103230013224 is an abundant number, since it is smaller than the sum of its proper divisors (176234761176).

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

103230013224 is a wasteful number, since it uses less digits than its factorization.

103230013224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2511 counting only the distinct ones).

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

Adding to 103230013224 its reverse (422310032301), we get a palindrome (525540045525).

The spelling of 103230013224 in words is "one hundred three billion, two hundred thirty million, thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 269 312 538 807 1031 1076 1193 1614 2062 2152 2386 3093 3228 3497 3579 4124 4772 6186 6456 6994 7158 8248 9544 10491 12372 13403 13988 14316 15509 20982 24744 26806 27976 28632 31018 40209 41964 46527 53612 62036 80418 83928 93054 107224 124072 160836 186108 277339 320917 321672 372216 554678 641834 832017 962751 1109356 1229983 1283668 1664034 1925502 2218712 2459966 2567336 3328068 3605407 3689949 3851004 4171921 4919932 6656136 7210814 7379898 7702008 8343842 9839864 10816221 12515763 14421628 14759796 15989779 16687684 21632442 25031526 28843256 29519592 31979558 33375368 43264884 47969337 50063052 63959116 86529768 95938674 100126104 127918232 191877348 330865427 383754696 661730854 992596281 1323461708 1985192562 2646923416 3970385124 4301250551 7940770248 8602501102 12903751653 17205002204 25807503306 34410004408 51615006612 103230013224