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103311311250 = 235478944221
BaseRepresentation
bin110000000110111010…
…1011000000110010010
3100212122221110101100010
41200031311120012102
53143040143430000
6115243251535350
710315102441110
oct1401565300622
9325587411303
10103311311250
113a8a55a6274
12180328ba556
139985852404
145000b42ab0
152a49cc3d50
hex180dd58192

103311311250 has 160 divisors (see below), whose sum is σ = 298402980480. Its totient is φ = 23348160000.

The previous prime is 103311311179. The next prime is 103311311251. The reversal of 103311311250 is 52113113301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103311311251) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2314140 + ... + 2358360.

It is an arithmetic number, because the mean of its divisors is an integer number (1865018628).

Almost surely, 2103311311250 is an apocalyptic number.

103311311250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103311311250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149201490240).

103311311250 is an abundant number, since it is smaller than the sum of its proper divisors (195091669230).

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

103311311250 is an equidigital number, since it uses as much as digits as its factorization.

103311311250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44342 (or 44327 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

Adding to 103311311250 its reverse (52113113301), we get a palindrome (155424424551).

The spelling of 103311311250 in words is "one hundred three billion, three hundred eleven million, three hundred eleven thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 89 105 125 150 175 178 210 250 267 350 375 445 525 534 623 625 750 875 890 1050 1246 1250 1335 1750 1869 1875 2225 2625 2670 3115 3738 3750 4375 4450 5250 6230 6675 8750 9345 11125 13125 13350 15575 18690 22250 26250 31150 33375 44221 46725 55625 66750 77875 88442 93450 111250 132663 155750 166875 221105 233625 265326 309547 333750 389375 442210 467250 619094 663315 778750 928641 1105525 1168125 1326630 1547735 1857282 2211050 2336250 3095470 3316575 3935669 4643205 5527625 6633150 7738675 7871338 9286410 11055250 11807007 15477350 16582875 19678345 23216025 23614014 27549683 27638125 33165750 38693375 39356690 46432050 55099366 55276250 59035035 77386750 82649049 82914375 98391725 116080125 118070070 137748415 165298098 165828750 193466875 196783450 232160250 275496830 295175175 386933750 413245245 491958625 580400625 590350350 688742075 826490490 983917250 1160801250 1377484150 1475875875 2066226225 2459793125 2951751750 3443710375 4132452450 4919586250 6887420750 7379379375 10331131125 14758758750 17218551875 20662262250 34437103750 51655655625 103311311250