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203242444300 = 225271753322249
BaseRepresentation
bin1011110101001000110…
…0011001011000001100
3201102121022111220220001
42331102030121120030
511312220031204200
6233211314534044
720453352162250
oct2752214313014
9642538456801
10203242444300
1179216074635
1233481597324
131621cccbc7c
149ba0998260
155447e5876a
hex2f5231960c

203242444300 has 144 divisors (see below), whose sum is σ = 543762072000. Its totient is φ = 64346480640.

The previous prime is 203242444271. The next prime is 203242444313. The reversal of 203242444300 is 3444242302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 469576 + ... + 791824.

It is an arithmetic number, because the mean of its divisors is an integer number (3776125500).

Almost surely, 2203242444300 is an apocalyptic number.

203242444300 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 203242444300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271881036000).

203242444300 is an abundant number, since it is smaller than the sum of its proper divisors (340519627700).

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

203242444300 is a wasteful number, since it uses less digits than its factorization.

203242444300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322340 (or 322333 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 203242444300 its reverse (3444242302), we get a palindrome (206686686602).

The spelling of 203242444300 in words is "two hundred three billion, two hundred forty-two million, four hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 53 68 70 85 100 106 119 140 170 175 212 238 265 340 350 371 425 476 530 595 700 742 850 901 1060 1190 1325 1484 1700 1802 1855 2380 2650 2975 3604 3710 4505 5300 5950 6307 7420 9010 9275 11900 12614 18020 18550 22525 25228 31535 37100 45050 63070 90100 126140 157675 315350 322249 630700 644498 1288996 1611245 2255743 3222490 4511486 5478233 6444980 8056225 9022972 10956466 11278715 16112450 17079197 21912932 22557430 27391165 32224900 34158394 38347631 45114860 54782330 56393575 68316788 76695262 85395985 109564660 112787150 119554379 136955825 153390524 170791970 191738155 225574300 239108758 273911650 290346349 341583940 383476310 426979925 478217516 547823300 580692698 597771895 766952620 853959850 958690775 1161385396 1195543790 1451731745 1707919700 1917381550 2032424443 2391087580 2903463490 2988859475 3834763100 4064848886 5806926980 5977718950 7258658725 8129697772 10162122215 11955437900 14517317450 20324244430 29034634900 40648488860 50810611075 101621222150 203242444300