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201043424320 = 265898578237
BaseRepresentation
bin1011101100111100011…
…1110011010001000000
3201012221001200010120121
42323033013303101000
511243214104034240
6232205202150024
720345020624264
oct2731707632100
9635831603517
10201043424320
1178297854352
1232b69052314
1315c5c55170b
149a328d40a4
155369d8204a
hex2ecf1f3440

201043424320 has 112 divisors (see below), whose sum is σ = 484737430320. Its totient is φ = 79411380224.

The previous prime is 201043424287. The next prime is 201043424333. The reversal of 201043424320 is 23424340102.

It is a happy number.

201043424320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1491813376 + 199551610944 = 38624^2 + 446712^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24403242 + ... + 24411478.

Almost surely, 2201043424320 is an apocalyptic number.

201043424320 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 201043424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242368715160).

201043424320 is an abundant number, since it is smaller than the sum of its proper divisors (283694006000).

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

201043424320 is an equidigital number, since it uses as much as digits as its factorization.

201043424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9200 (or 9190 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 201043424320 its reverse (23424340102), we get a palindrome (224467764422).

The spelling of 201043424320 in words is "two hundred one billion, forty-three million, four hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 160 178 320 356 445 712 857 890 1424 1714 1780 2848 3428 3560 4285 5696 6856 7120 8237 8570 13712 14240 16474 17140 27424 28480 32948 34280 41185 54848 65896 68560 76273 82370 131792 137120 152546 164740 263584 274240 305092 329480 381365 527168 610184 658960 733093 762730 1220368 1317920 1466186 1525460 2440736 2635840 2932372 3050920 3665465 4881472 5864744 6101840 7059109 7330930 11729488 12203680 14118218 14661860 23458976 24407360 28236436 29323720 35295545 46917952 56472872 58647440 70591090 112945744 117294880 141182180 225891488 234589760 282364360 451782976 564728720 628260701 1129457440 1256521402 2258914880 2513042804 3141303505 5026085608 6282607010 10052171216 12565214020 20104342432 25130428040 40208684864 50260856080 100521712160 201043424320