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252520000110 = 232572111751263
BaseRepresentation
bin1110101100101101011…
…1010110101001101110
3220010210112221010101200
43223023113112221232
513114130110000420
6312001151550330
724146452404600
oct3531327265156
9803715833350
10252520000110
1198102a58674
1240b3452b3a6
131aa741a1811
14c31738b170
15687e195b90
hex3acb5d6a6e

252520000110 has 144 divisors (see below), whose sum is σ = 764442821376. Its totient is φ = 57666059136.

The previous prime is 252520000091. The next prime is 252520000129. The reversal of 252520000110 is 11000025252.

It is an interprime number because it is at equal distance from previous prime (252520000091) and next prime (252520000129).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 4900339 + ... + 4951601.

It is an arithmetic number, because the mean of its divisors is an integer number (5308630704).

Almost surely, 2252520000110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252520000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382221410688).

252520000110 is an abundant number, since it is smaller than the sum of its proper divisors (511922821266).

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

252520000110 is a wasteful number, since it uses less digits than its factorization.

252520000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52407 (or 52397 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 252520000110 its reverse (11000025252), we get a palindrome (263520025362).

The spelling of 252520000110 in words is "two hundred fifty-two billion, five hundred twenty million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1117 1470 2205 2234 3351 4410 5585 6702 7819 10053 11170 15638 16755 20106 23457 33510 39095 46914 50265 51263 54733 70371 78190 100530 102526 109466 117285 140742 153789 164199 234570 256315 273665 307578 328398 351855 358841 461367 492597 512630 547330 703710 717682 768945 820995 922734 985194 1076523 1537890 1641990 1794205 2153046 2306835 2462985 2511887 3229569 3588410 4613670 4925970 5023774 5382615 6459138 7535661 10765230 12559435 15071322 16147845 22606983 25118870 32295690 37678305 45213966 57260771 75356610 113034915 114521542 171782313 226069830 286303855 343564626 400825397 515346939 572607710 801650794 858911565 1030693878 1202476191 1717823130 2004126985 2404952382 2576734695 2805777779 3607428573 4008253970 5153469390 5611555558 6012380955 7214857146 8417333337 12024761910 14028888895 16834666674 18037142865 25252000011 28057777790 36074285730 42086666685 50504000022 84173333370 126260000055 252520000110