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103028753232 = 24321773576533
BaseRepresentation
bin101111111110011111…
…1100000001101010000
3100211221020202221121100
41133330333200031100
53142000330100412
6115155235424400
710305101644566
oct1377477401520
9324836687540
10103028753232
113a770055249
1217b74155100
13993c150612
144db53cda36
152a300acedc
hex17fcfe0350

103028753232 has 120 divisors (see below), whose sum is σ = 309481145064. Its totient is φ = 31879913472.

The previous prime is 103028753203. The next prime is 103028753257. The reversal of 103028753232 is 232357820301.

103028753232 is a `hidden beast` number, since 10 + 3 + 0 + 2 + 87 + 532 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36322261056 + 66706492176 = 190584^2 + 258276^2 .

It is a super-2 number, since 2×1030287532322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109563 + ... + 466970.

Almost surely, 2103028753232 is an apocalyptic number.

103028753232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103028753232 is an abundant number, since it is smaller than the sum of its proper divisors (206452391832).

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

103028753232 is a wasteful number, since it uses less digits than its factorization.

103028753232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576637 (or 576628 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 103028753232 in words is "one hundred three billion, twenty-eight million, seven hundred fifty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 73 102 136 144 146 153 204 219 272 292 306 408 438 584 612 657 816 876 1168 1224 1241 1314 1752 2448 2482 2628 3504 3723 4964 5256 7446 9928 10512 11169 14892 19856 22338 29784 44676 59568 89352 178704 576533 1153066 1729599 2306132 3459198 4612264 5188797 6918396 9224528 9801061 10377594 13836792 19602122 20755188 27673584 29403183 39204244 41510376 42086909 58806366 78408488 83020752 84173818 88209549 117612732 126260727 156816976 168347636 176419098 235225464 252521454 336695272 352838196 378782181 470450928 505042908 673390544 705676392 715477453 757564362 1010085816 1411352784 1430954906 1515128724 2020171632 2146432359 2861909812 3030257448 4292864718 5723819624 6060514896 6439297077 8585729436 11447639248 12878594154 17171458872 25757188308 34342917744 51514376616 103028753232