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105423212000 = 255337712319
BaseRepresentation
bin110001000101110110…
…1101000110111100000
3101002010010101001112102
41202023231220313200
53211401320241000
6120233013145532
710421325342131
oct1421355506740
9332103331472
10105423212000
1140789722597
121852202b2a8
139c31249022
145161409c88
152b203dc3d5
hex188bb68de0

105423212000 has 96 divisors (see below), whose sum is σ = 266025876480. Its totient is φ = 41029516800.

The previous prime is 105423211981. The next prime is 105423212003. The reversal of 105423212000 is 212324501.

It is a super-2 number, since 2×1054232120002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105423212003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208160 + ... + 504159.

It is an arithmetic number, because the mean of its divisors is an integer number (2771102880).

Almost surely, 2105423212000 is an apocalyptic number.

105423212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105423212000 is an abundant number, since it is smaller than the sum of its proper divisors (160602664480).

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

105423212000 is an equidigital number, since it uses as much as digits as its factorization.

105423212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712381 (or 712363 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 105423212000 its reverse (212324501), we get a palindrome (105635536501).

The spelling of 105423212000 in words is "one hundred five billion, four hundred twenty-three million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 125 148 160 185 200 250 296 370 400 500 592 740 800 925 1000 1184 1480 1850 2000 2960 3700 4000 4625 5920 7400 9250 14800 18500 29600 37000 74000 148000 712319 1424638 2849276 3561595 5698552 7123190 11397104 14246380 17807975 22794208 26355803 28492760 35615950 52711606 56985520 71231900 89039875 105423212 113971040 131779015 142463800 178079750 210846424 263558030 284927600 356159500 421692848 527116060 569855200 658895075 712319000 843385696 1054232120 1317790150 1424638000 2108464240 2635580300 2849276000 3294475375 4216928480 5271160600 6588950750 10542321200 13177901500 21084642400 26355803000 52711606000 105423212000