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53340312200 = 23527223332
BaseRepresentation
bin110001101011010101…
…001001001010001000
312002200101012121112112
4301223111021022020
51333220104442300
640300524001452
73565552113200
oct615325111210
9162611177475
1053340312200
112069224104a
12a407690288
135050ac7a16
142820201400
1515c2c5be35
hexc6b549288

53340312200 has 108 divisors (see below), whose sum is σ = 144325635615. Its totient is φ = 18280268160.

The previous prime is 53340312197. The next prime is 53340312269. The reversal of 53340312200 is 221304335.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 11509427524 + 41830884676 = 107282^2 + 204526^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=163310.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22862234 + ... + 22864566.

Almost surely, 253340312200 is an apocalyptic number.

53340312200 is a gapful number since it is divisible by the number (50) 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 53340312200

53340312200 is an abundant number, since it is smaller than the sum of its proper divisors (90985323415).

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

53340312200 is an equidigital number, since it uses as much as digits as its factorization.

53340312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4696 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

Adding to 53340312200 its reverse (221304335), we get a palindrome (53561616535).

The spelling of 53340312200 in words is "fifty-three billion, three hundred forty million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2333 2450 4666 4900 9332 9800 11665 16331 18664 23330 32662 46660 58325 65324 81655 93320 114317 116650 130648 163310 228634 233300 326620 408275 457268 466600 571585 653240 816550 914536 1143170 1633100 2286340 2857925 3266200 4572680 5442889 5715850 10885778 11431700 21771556 22863400 27214445 38100223 43543112 54428890 76200446 108857780 136072225 152400892 190501115 217715560 266701561 272144450 304801784 381002230 533403122 544288900 762004460 952505575 1066806244 1088577800 1333507805 1524008920 1905011150 2133612488 2667015610 3810022300 5334031220 6667539025 7620044600 10668062440 13335078050 26670156100 53340312200