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110100220120 = 235112447102259
BaseRepresentation
bin110011010001001111…
…1000000100011011000
3101112012001222200112101
41212202133000203120
53300441124020440
6122325045453144
710645246300252
oct1464237004330
9345161880471
10110100220120
1142769781a60
12194084111b4
13a4c81b9957
145486630cd2
152ce5ce269a
hex19a27c08d8

110100220120 has 64 divisors (see below), whose sum is σ = 270359078400. Its totient is φ = 40019690880.

The previous prime is 110100220073. The next prime is 110100220121. The reversal of 110100220120 is 21022001011.

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 = 110100220097 and 110100220106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100220121) 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, 1025551 + ... + 1127809.

It is an arithmetic number, because the mean of its divisors is an integer number (4224360600).

Almost surely, 2110100220120 is an apocalyptic number.

110100220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110100220120 is an abundant number, since it is smaller than the sum of its proper divisors (160258858280).

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

110100220120 is a wasteful number, since it uses less digits than its factorization.

110100220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104728 (or 104724 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 110100220120 its reverse (21022001011), we get a palindrome (131122221131).

The spelling of 110100220120 in words is "one hundred ten billion, one hundred million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2447 4894 9788 12235 19576 24470 26917 48940 53834 97880 102259 107668 134585 204518 215336 269170 409036 511295 538340 818072 1022590 1076680 1124849 2045180 2249698 4090360 4499396 5624245 8998792 11248490 22496980 44993960 250227773 500455546 1000911092 1251138865 2001822184 2502277730 2752505503 5004555460 5505011006 10009110920 11010022012 13762527515 22020044024 27525055030 55050110060 110100220120