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110111210020 = 22577313778643
BaseRepresentation
bin110011010001100100…
…0111011101000100100
3101112012211200000211201
41212203020323220210
53301001432210040
6122330121212244
710645441561630
oct1464310735044
9345184600751
10110111210020
11427749a8919
1219410031084
13a4ca566c56
145487c91dc0
152ce6c63a9a
hex19a323ba24

110111210020 has 96 divisors (see below), whose sum is σ = 269845809408. Its totient is φ = 36962998272.

The previous prime is 110111209987. The next prime is 110111210039. The reversal of 110111210020 is 20012111011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 110111209979 and 110111210006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1360819 + ... + 1439461.

It is an arithmetic number, because the mean of its divisors is an integer number (2810893848).

Almost surely, 2110111210020 is an apocalyptic number.

110111210020 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 110111210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134922904704).

110111210020 is an abundant number, since it is smaller than the sum of its proper divisors (159734599388).

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

110111210020 is a wasteful number, since it uses less digits than its factorization.

110111210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78869 (or 78867 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110111210020 its reverse (20012111011), we get a palindrome (130123321031).

Subtracting from 110111210020 its reverse (20012111011), we obtain a palindrome (90099099009).

The spelling of 110111210020 in words is "one hundred ten billion, one hundred eleven million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 137 140 146 274 292 365 511 548 685 730 959 1022 1370 1460 1918 2044 2555 2740 3836 4795 5110 9590 10001 10220 19180 20002 40004 50005 70007 78643 100010 140014 157286 200020 280028 314572 350035 393215 550501 700070 786430 1101002 1400140 1572860 2202004 2752505 5505010 5740939 10774091 11010020 11481878 21548182 22963756 28704695 40186573 43096364 53870455 57409390 75418637 80373146 107740910 114818780 150837274 160746292 200932865 215481820 301674548 377093185 401865730 754186370 786508643 803731460 1508372740 1573017286 3146034572 3932543215 5505560501 7865086430 11011121002 15730172860 22022242004 27527802505 55055605010 110111210020