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103203001000 = 23531123407917
BaseRepresentation
bin110000000011101100…
…0001101001010101000
3100212101101122122121101
41200013120031022220
53142324432013000
6115224422251144
710312316014561
oct1400730151250
9325341578541
10103203001000
113a84a449170
1218002586ab4
13996928c1c8
144dd05cb168
152a4052be6a
hex180760d2a8

103203001000 has 128 divisors (see below), whose sum is σ = 274904098560. Its totient is φ = 35896608000.

The previous prime is 103203000997. The next prime is 103203001001. The reversal of 103203001000 is 100302301.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (103203001001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49042 + ... + 456958.

It is an arithmetic number, because the mean of its divisors is an integer number (2147688270).

Almost surely, 2103203001000 is an apocalyptic number.

103203001000 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 103203001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137452049280).

103203001000 is an abundant number, since it is smaller than the sum of its proper divisors (171701097560).

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

103203001000 is a wasteful number, since it uses less digits than its factorization.

103203001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407972 (or 407958 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 103203001000 its reverse (100302301), we get a palindrome (103303303301).

The spelling of 103203001000 in words is "one hundred three billion, two hundred three million, one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 125 184 200 220 230 250 253 275 440 460 500 506 550 575 920 1000 1012 1100 1150 1265 1375 2024 2200 2300 2530 2750 2875 4600 5060 5500 5750 6325 10120 11000 11500 12650 23000 25300 31625 50600 63250 126500 253000 407917 815834 1631668 2039585 3263336 4079170 4487087 8158340 8974174 9382091 10197925 16316680 17948348 18764182 20395850 22435435 35896696 37528364 40791700 44870870 46910455 50989625 75056728 81583400 89741740 93820910 101979250 103203001 112177175 179483480 187641820 203958500 206406002 224354350 234552275 375283640 407917000 412812004 448708700 469104550 516015005 560885875 825624008 897417400 938209100 1032030010 1121771750 1172761375 1876418200 2064060020 2243543500 2345522750 2580075025 4128120040 4487087000 4691045500 5160150050 9382091000 10320300100 12900375125 20640600200 25800750250 51601500500 103203001000