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12303201323300 = 22521727532628833
BaseRepresentation
bin1011001100001000111111…
…1100011100100100100100
31121120011201020212012112012
42303002033330130210210
53103033424014321200
642100002422413352
72406606540516056
oct263021774344444
947504636765465
1012303201323300
113a13838448738
121468539291258
136b3257831424
14307699d718d6
1516507b68ea35
hexb308ff1c924

12303201323300 has 72 divisors (see below), whose sum is σ = 28278693313416. Its totient is φ = 4630109224960.

The previous prime is 12303201323293. The next prime is 12303201323339. The reversal of 12303201323300 is 332310230321.

It can be written as a sum of positive squares in 12 ways, for example, as 711191995684 + 11592009327616 = 843322^2 + 3404704^2 .

It is a super-2 number, since 2×123032013233002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3365684 + ... + 5994516.

It is an arithmetic number, because the mean of its divisors is an integer number (392759629353).

Almost surely, 212303201323300 is an apocalyptic number.

12303201323300 is a gapful number since it is divisible by the number (10) 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 12303201323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14139346656708).

12303201323300 is an abundant number, since it is smaller than the sum of its proper divisors (15975491990116).

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

12303201323300 is a wasteful number, since it uses less digits than its factorization.

12303201323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631617 (or 2631610 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 12303201323300 its reverse (332310230321), we get a palindrome (12635511553621).

The spelling of 12303201323300 in words is "twelve trillion, three hundred three billion, two hundred one million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 2753 5506 11012 13765 27530 46801 55060 68825 93602 137650 187204 234005 275300 468010 936020 1170025 2340050 2628833 4680100 5257666 10515332 13144165 26288330 44690161 52576660 65720825 89380322 131441650 178760644 223450805 262883300 446901610 893803220 1117254025 2234508050 4469016100 7237177249 14474354498 28948708996 36185886245 72371772490 123032013233 144743544980 180929431225 246064026466 361858862450 492128052932 615160066165 723717724900 1230320132330 2460640264660 3075800330825 6151600661650 12303201323300