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110203255040 = 285379227167
BaseRepresentation
bin110011010100010100…
…0000011100100000000
3101112110020212101212112
41212220220003210000
53301144013130130
6122343210114452
710650640132514
oct1465050034400
9345406771775
10110203255040
114281195668a
1219436a1ba28
13a513653968
1454961b2144
152ceed96495
hex19a8a03900

110203255040 has 72 divisors (see below), whose sum is σ = 264668893440. Its totient is φ = 43964798976.

The previous prime is 110203254983. The next prime is 110203255067. The reversal of 110203255040 is 40552302011.

It is a super-2 number, since 2×1102032550402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110203254997 and 110203255015.

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, 371537 + ... + 598703.

Almost surely, 2110203255040 is an apocalyptic number.

110203255040 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 110203255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132334446720).

110203255040 is an abundant number, since it is smaller than the sum of its proper divisors (154465638400).

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

110203255040 is an equidigital number, since it uses as much as digits as its factorization.

110203255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227567 (or 227553 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 110203255040 its reverse (40552302011), we get a palindrome (150755557051).

The spelling of 110203255040 in words is "one hundred ten billion, two hundred three million, two hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 379 640 758 1280 1516 1895 3032 3790 6064 7580 12128 15160 24256 30320 48512 60640 97024 121280 227167 242560 454334 485120 908668 1135835 1817336 2271670 3634672 4543340 7269344 9086680 14538688 18173360 29077376 36346720 58154752 72693440 86096293 145386880 172192586 290773760 344385172 430481465 688770344 860962930 1377540688 1721925860 2755081376 3443851720 5510162752 6887703440 11020325504 13775406880 22040651008 27550813760 55101627520 110203255040