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203105401350 = 235217229347813
BaseRepresentation
bin1011110100101000000…
…1100111101000000110
3201102020202122102022020
42331022001213220012
511311424440320400
6233145541344010
720450066266155
oct2751201475006
9642222572266
10203105401350
11791557821a5
1233443708006
13161ca7b8877
149b8a6c359c
15543add82a0
hex2f4a067a06

203105401350 has 96 divisors (see below), whose sum is σ = 535661385120. Its totient is φ = 50752727040.

The previous prime is 203105401337. The next prime is 203105401379. The reversal of 203105401350 is 53104501302.

It is a self number, because there is not a number n which added to its sum of digits gives 203105401350.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 410044 + ... + 757856.

It is an arithmetic number, because the mean of its divisors is an integer number (5579806095).

Almost surely, 2203105401350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203105401350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267830692560).

203105401350 is an abundant number, since it is smaller than the sum of its proper divisors (332555983770).

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

203105401350 is a wasteful number, since it uses less digits than its factorization.

203105401350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348074 (or 348069 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 203105401350 its reverse (53104501302), we get a palindrome (256209902652).

The spelling of 203105401350 in words is "two hundred three billion, one hundred five million, four hundred one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 229 255 425 458 510 687 850 1145 1275 1374 2290 2550 3435 3893 5725 6870 7786 11450 11679 17175 19465 23358 34350 38930 58395 97325 116790 194650 291975 347813 583950 695626 1043439 1739065 2086878 3478130 5217195 5912821 8695325 10434390 11825642 17390650 17738463 26085975 29564105 35476926 52171950 59128210 79649177 88692315 147820525 159298354 177384630 238947531 295641050 398245885 443461575 477895062 796491770 886923150 1194737655 1354036009 1991229425 2389475310 2708072018 3982458850 4062108027 5973688275 6770180045 8124216054 11947376550 13540360090 20310540135 33850900225 40621080270 67701800450 101552700675 203105401350