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421110312 = 233722315569
BaseRepresentation
bin11001000110011…
…010001000101000
31002100101121202020
4121012122020220
51330301012222
6105441504440
713302243600
oct3106321050
91070347666
10421110312
111a6784457
12b9042120
13693231cc
143dcdbc00
1526e8365c
hex1919a228

421110312 has 96 divisors (see below), whose sum is σ = 1277985600. Its totient is φ = 115078656.

The previous prime is 421110307. The next prime is 421110329. The reversal of 421110312 is 213011124.

It is a junction number, because it is equal to n+sod(n) for n = 421110291 and 421110300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19264 + ... + 34832.

It is an arithmetic number, because the mean of its divisors is an integer number (13312350).

Almost surely, 2421110312 is an apocalyptic number.

421110312 is a gapful number since it is divisible by the number (42) 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 421110312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638992800).

421110312 is an abundant number, since it is smaller than the sum of its proper divisors (856875288).

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

421110312 is a wasteful number, since it uses less digits than its factorization.

421110312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15615 (or 15604 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 421110312 is about 20520.9724915755. The cubic root of 421110312 is about 749.5465774882.

Adding to 421110312 its reverse (213011124), we get a palindrome (634121436).

The spelling of 421110312 in words is "four hundred twenty-one million, one hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 49 56 69 84 92 98 138 147 161 168 184 196 276 294 322 392 483 552 588 644 966 1127 1176 1288 1932 2254 3381 3864 4508 6762 9016 13524 15569 27048 31138 46707 62276 93414 108983 124552 186828 217966 326949 358087 373656 435932 653898 716174 762881 871864 1074261 1307796 1432348 1525762 2148522 2288643 2506609 2615592 2864696 3051524 4297044 4577286 5013218 6103048 7519827 8594088 9154572 10026436 15039654 17546263 18309144 20052872 30079308 35092526 52638789 60158616 70185052 105277578 140370104 210555156 421110312