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112020242432 = 21472693631
BaseRepresentation
bin110100001010011101…
…1010100000000000000
3101201010212211220222212
41220110323110000000
53313404140224212
6123243354321252
711043652231040
oct1502473240000
9351125756885
10112020242432
114356456315a
1219863429228
13a742c10b27
1455c962b720
152da9657e22
hex1a14ed4000

112020242432 has 120 divisors (see below), whose sum is σ = 257061047040. Its totient is φ = 47817031680.

The previous prime is 112020242423. The next prime is 112020242441. The reversal of 112020242432 is 234242020211.

It is an interprime number because it is at equal distance from previous prime (112020242423) and next prime (112020242441).

It is a junction number, because it is equal to n+sod(n) for n = 112020242398 and 112020242407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30849257 + ... + 30852887.

It is an arithmetic number, because the mean of its divisors is an integer number (2142175392).

Almost surely, 2112020242432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112020242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128530523520).

112020242432 is an abundant number, since it is smaller than the sum of its proper divisors (145040804608).

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

112020242432 is an frugal number, since it uses more digits than its factorization.

112020242432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3935 (or 3909 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 112020242432 its reverse (234242020211), we get a palindrome (346262262643).

The spelling of 112020242432 in words is "one hundred twelve billion, twenty million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 269 448 512 538 896 1024 1076 1792 1883 2048 2152 3584 3631 3766 4096 4304 7168 7262 7532 8192 8608 14336 14524 15064 16384 17216 25417 28672 29048 30128 34432 50834 57344 58096 60256 68864 101668 114688 116192 120512 137728 203336 232384 241024 275456 406672 464768 482048 550912 813344 929536 964096 976739 1101824 1626688 1859072 1928192 1953478 2203648 3253376 3718144 3856384 3906956 4407296 6506752 6837173 7436288 7712768 7813912 13013504 13674346 14872576 15425536 15627824 26027008 27348692 29745152 30851072 31255648 52054016 54697384 59490304 62511296 104108032 109394768 125022592 208216064 218789536 250045184 416432128 437579072 500090368 875158144 1000180736 1750316288 2000361472 3500632576 4000722944 7001265152 8001445888 14002530304 16002891776 28005060608 56010121216 112020242432