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103203211000 = 23534714914737
BaseRepresentation
bin110000000011101100…
…1000000011011111000
3100212101102001022200011
41200013121000123320
53142330010223000
6115224430551304
710312320551041
oct1400731003370
9325342038604
10103203211000
113a84a581a1a
1218002668534
139969333976
144dd06438c8
152a4056e2ba
hex18076406f8

103203211000 has 128 divisors (see below), whose sum is σ = 248305824000. Its totient is φ = 40129075200.

The previous prime is 103203210991. The next prime is 103203211039. The reversal of 103203211000 is 112302301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6995632 + ... + 7010368.

It is an arithmetic number, because the mean of its divisors is an integer number (1939889250).

Almost surely, 2103203211000 is an apocalyptic number.

103203211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103203211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124152912000).

103203211000 is an abundant number, since it is smaller than the sum of its proper divisors (145102613000).

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

103203211000 is a wasteful number, since it uses less digits than its factorization.

103203211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14954 (or 14940 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 103203211000 its reverse (112302301), we get a palindrome (103315513301).

The spelling of 103203211000 in words is "one hundred three billion, two hundred three million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 149 188 200 235 250 298 376 470 500 596 745 940 1000 1175 1192 1490 1880 2350 2980 3725 4700 5875 5960 7003 7450 9400 11750 14006 14737 14900 18625 23500 28012 29474 29800 35015 37250 47000 56024 58948 70030 73685 74500 117896 140060 147370 149000 175075 280120 294740 350150 368425 589480 692639 700300 736850 875375 1385278 1400600 1473700 1750750 1842125 2195813 2770556 2947400 3463195 3501500 3684250 4391626 5541112 6926390 7003000 7368500 8783252 10979065 13852780 14737000 17315975 17566504 21958130 27705560 34631950 43916260 54895325 69263900 86579875 87832520 103203211 109790650 138527800 173159750 206406422 219581300 274476625 346319500 412812844 439162600 516016055 548953250 692639000 825625688 1032032110 1097906500 2064064220 2195813000 2580080275 4128128440 5160160550 10320321100 12900401375 20640642200 25800802750 51601605500 103203211000