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241431433341100 = 225210123904102311
BaseRepresentation
bin110110111001010010100010…
…110100100110100010101100
31011122211121201200221001002021
4312321102202310212202230
5223121103033413403400
62213252022550035524
7101565562662125302
oct6671224264464254
91148747650831067
10241431433341100
116aa22550020062
12230b3042648ba4
13a493b6a778a12
1443894b5264272
151cda2bb7c371a
hexdb94a2d268ac

241431433341100 has 36 divisors (see below), whose sum is σ = 529093400573808. Its totient is φ = 95616409240000.

The previous prime is 241431433341017. The next prime is 241431433341143. The reversal of 241431433341100 is 1143334134142.

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 11 ways as a sum of consecutive naturals, for example, 11952041056 + ... + 11952061255.

It is an arithmetic number, because the mean of its divisors is an integer number (14697038904828).

Almost surely, 2241431433341100 is an apocalyptic number.

241431433341100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241431433341100 is an abundant number, since it is smaller than the sum of its proper divisors (287661967232708).

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

241431433341100 is a wasteful number, since it uses less digits than its factorization.

241431433341100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23904102426 (or 23904102419 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 241431433341100 its reverse (1143334134142), we get a palindrome (242574767475242).

The spelling of 241431433341100 in words is "two hundred forty-one trillion, four hundred thirty-one billion, four hundred thirty-three million, three hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 23904102311 47808204622 95616409244 119520511555 239041023110 478082046220 597602557775 1195205115550 2390410231100 2414314333411 4828628666822 9657257333644 12071571667055 24143143334110 48286286668220 60357858335275 120715716670550 241431433341100