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103012003328 = 291385718059
BaseRepresentation
bin101111111101111111…
…1100110111000000000
3100211220002020222001112
41133323333212320000
53141432033101303
6115153440422452
710304506403213
oct1377377467000
9324802228045
10103012003328
113a761654853
1217b6a617a28
139938837630
144db30ad77a
152a2d8a00d8
hex17fbfe6e00

103012003328 has 80 divisors (see below), whose sum is σ = 221926264560. Its totient is φ = 47485894656.

The previous prime is 103012003327. The next prime is 103012003333. The reversal of 103012003328 is 823300210301.

It is a super-2 number, since 2×1030120033282 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103012003327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5695163 + ... + 5713221.

It is an arithmetic number, because the mean of its divisors is an integer number (2774078307).

Almost surely, 2103012003328 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 103012003328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110963132280).

103012003328 is an abundant number, since it is smaller than the sum of its proper divisors (118914261232).

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

103012003328 is an equidigital number, since it uses as much as digits as its factorization.

103012003328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18947 (or 18931 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 103012003328 its reverse (823300210301), we get a palindrome (926312213629).

The spelling of 103012003328 in words is "one hundred three billion, twelve million, three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 857 1664 1714 3328 3428 6656 6856 11141 13712 18059 22282 27424 36118 44564 54848 72236 89128 109696 144472 178256 219392 234767 288944 356512 438784 469534 577888 713024 939068 1155776 1426048 1878136 2311552 2852096 3756272 4623104 5704192 7512544 9246208 15025088 15476563 30050176 30953126 60100352 61906252 120200704 123812504 201195319 247625008 402390638 495250016 804781276 990500032 1609562552 1981000064 3219125104 3962000128 6438250208 7924000256 12876500416 25753000832 51506001664 103012003328