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112210012420 = 225113118190901
BaseRepresentation
bin110100010000000111…
…1001110100100000100
3101201122002221020110221
41220200033032210010
53314301230344140
6123314253554124
711051445240232
oct1504017164404
9351562836427
10112210012420
1143651699160
12198b6aa5944
13a77332596c
145606909952
152dbb14114a
hex1a203ce904

112210012420 has 96 divisors (see below), whose sum is σ = 266824276992. Its totient is φ = 39268800000.

The previous prime is 112210012373. The next prime is 112210012423. The reversal of 112210012420 is 24210012211.

It is a junction number, because it is equal to n+sod(n) for n = 112210012394 and 112210012403.

It is not an unprimeable number, because it can be changed into a prime (112210012423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1188970 + ... + 1279870.

It is an arithmetic number, because the mean of its divisors is an integer number (2779419552).

Almost surely, 2112210012420 is an apocalyptic number.

112210012420 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 112210012420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133412138496).

112210012420 is an abundant number, since it is smaller than the sum of its proper divisors (154614264572).

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

112210012420 is a wasteful number, since it uses less digits than its factorization.

112210012420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91133 (or 91131 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112210012420 its reverse (24210012211), we get a palindrome (136420024631).

The spelling of 112210012420 in words is "one hundred twelve billion, two hundred ten million, twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 181 220 310 341 362 620 682 724 905 1364 1705 1810 1991 3410 3620 3982 5611 6820 7964 9955 11222 19910 22444 28055 39820 56110 61721 90901 112220 123442 181802 246884 308605 363604 454505 617210 909010 999911 1234420 1818020 1999822 2817931 3999644 4999555 5635862 9999110 11271724 14089655 16453081 19998220 28179310 30997241 32906162 56358620 61994482 65812324 82265405 123988964 154986205 164530810 180983891 309972410 329061620 361967782 510045511 619944820 723935564 904919455 1020091022 1809838910 2040182044 2550227555 3619677820 5100455110 5610500621 10200910220 11221001242 22442002484 28052503105 56105006210 112210012420