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242320200500 = 22537431610101
BaseRepresentation
bin1110000110101101101…
…0001101001100110100
3212011110201012121201202
43201223122031030310
512432232432404000
6303153110512032
723335630501520
oct3415332151464
9764421177652
10242320200500
1193849488214
123ab68665618
1319b09c9a331
14ba2a898d80
1564839bcdd5
hex386b68d334

242320200500 has 96 divisors (see below), whose sum is σ = 618897447168. Its totient is φ = 81149040000.

The previous prime is 242320200487. The next prime is 242320200557. The reversal of 242320200500 is 5002023242.

242320200500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 654551 + ... + 955550.

It is an arithmetic number, because the mean of its divisors is an integer number (6446848408).

Almost surely, 2242320200500 is an apocalyptic number.

242320200500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242320200500 is an abundant number, since it is smaller than the sum of its proper divisors (376577246668).

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

242320200500 is a wasteful number, since it uses less digits than its factorization.

242320200500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610170 (or 1610158 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 242320200500 its reverse (5002023242), we get a palindrome (247322223742).

The spelling of 242320200500 in words is "two hundred forty-two billion, three hundred twenty million, two hundred thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 70 86 100 125 140 172 175 215 250 301 350 430 500 602 700 860 875 1075 1204 1505 1750 2150 3010 3500 4300 5375 6020 7525 10750 15050 21500 30100 37625 75250 150500 1610101 3220202 6440404 8050505 11270707 16101010 22541414 32202020 40252525 45082828 56353535 69234343 80505050 112707070 138468686 161010100 201262625 225414140 276937372 281767675 346171715 402525250 484640401 563535350 692343430 805050500 969280802 1127070700 1384686860 1408838375 1730858575 1938561604 2423202005 2817676750 3461717150 4846404010 5635353500 6923434300 8654292875 9692808020 12116010025 17308585750 24232020050 34617171500 48464040100 60580050125 121160100250 242320200500