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103421516250 = 23541310919463
BaseRepresentation
bin110000001010001100…
…1110001100111011010
3100212221121211101011210
41200110121301213122
53143301402010000
6115302230003550
710320611245353
oct1402431614732
9325847741153
10103421516250
113a951827988
12180637a65b6
1399a2629b80
14501162cd2a
152a547e2350
hex18146719da

103421516250 has 160 divisors (see below), whose sum is σ = 280921576320. Its totient is φ = 25222752000.

The previous prime is 103421516201. The next prime is 103421516279. The reversal of 103421516250 is 52615124301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5304019 + ... + 5323481.

It is an arithmetic number, because the mean of its divisors is an integer number (1755759852).

Almost surely, 2103421516250 is an apocalyptic number.

103421516250 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 103421516250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140460788160).

103421516250 is an abundant number, since it is smaller than the sum of its proper divisors (177500060070).

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

103421516250 is a wasteful number, since it uses less digits than its factorization.

103421516250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19610 (or 19595 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 103421516250 in words is "one hundred three billion, four hundred twenty-one million, five hundred sixteen thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 109 125 130 150 195 218 250 325 327 375 390 545 625 650 654 750 975 1090 1250 1417 1625 1635 1875 1950 2725 2834 3250 3270 3750 4251 4875 5450 7085 8125 8175 8502 9750 13625 14170 16250 16350 19463 21255 24375 27250 35425 38926 40875 42510 48750 58389 68125 70850 81750 97315 106275 116778 136250 177125 194630 204375 212550 253019 291945 354250 408750 486575 506038 531375 583890 759057 885625 973150 1062750 1265095 1459725 1518114 1771250 2121467 2432875 2530190 2656875 2919450 3795285 4242934 4865750 5313750 6325475 6364401 7298625 7590570 10607335 12164375 12650950 12728802 14597250 18976425 21214670 24328750 27579071 31627375 31822005 36493125 37952850 53036675 55158142 63254750 63644010 72986250 82737213 94882125 106073350 137895355 158136875 159110025 165474426 189764250 265183375 275790710 316273750 318220050 413686065 474410625 530366750 689476775 795550125 827372130 948821250 1325916875 1378953550 1591100250 2068430325 2651833750 3447383875 3977750625 4136860650 6894767750 7955501250 10342151625 17236919375 20684303250 34473838750 51710758125 103421516250