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203420034300 = 223527733132151
BaseRepresentation
bin1011110101110011000…
…1110110010011111100
3201110001200200102120110
42331130301312103330
511313101012044200
6233241101150020
720460636522330
oct2753461662374
9643050612513
10203420034300
11792a734062a
1233510b5b310
131624aa3ac02
149bba3c57c0
155458837b50
hex2f5cc764fc

203420034300 has 144 divisors (see below), whose sum is σ = 673565000192. Its totient is φ = 46432224000.

The previous prime is 203420034263. The next prime is 203420034317. The reversal of 203420034300 is 3430024302.

It is a super-2 number, since 2×2034200343002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1473225 + ... + 1605375.

Almost surely, 2203420034300 is an apocalyptic number.

203420034300 is a gapful number since it is divisible by the number (20) 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 203420034300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336782500096).

203420034300 is an abundant number, since it is smaller than the sum of its proper divisors (470144965892).

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

203420034300 is a wasteful number, since it uses less digits than its factorization.

203420034300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132908 (or 132901 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 203420034300 its reverse (3430024302), we get a palindrome (206850058602).

The spelling of 203420034300 in words is "two hundred three billion, four hundred twenty million, thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 733 1050 1466 2100 2199 2932 3665 4398 5131 7330 8796 10262 10995 14660 15393 18325 20524 21990 25655 30786 36650 43980 51310 54975 61572 73300 76965 102620 109950 128275 132151 153930 219900 256550 264302 307860 384825 396453 513100 528604 660755 769650 792906 925057 1321510 1539300 1585812 1850114 1982265 2643020 2775171 3303775 3700228 3964530 4625285 5550342 6607550 7929060 9250570 9911325 11100684 13215100 13875855 18501140 19822650 23126425 27751710 39645300 46252850 55503420 69379275 92505700 96866683 138758550 193733366 277517100 290600049 387466732 484333415 581200098 678066781 968666830 1162400196 1356133562 1453000245 1937333660 2034200343 2421667075 2712267124 2906000490 3390333905 4068400686 4843334150 5812000980 6780667810 7265001225 8136801372 9686668300 10171001715 13561335620 14530002450 16951669525 20342003430 29060004900 33903339050 40684006860 50855008575 67806678100 101710017150 203420034300