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110120021000 = 23531123435257
BaseRepresentation
bin110011010001110101…
…0100010110000001000
3101112020110020200020022
41212203222202300020
53301011211133000
6122331034120012
710645606506623
oct1464352426010
9345213220208
10110120021000
1142779976720
1219412b80008
13a4cc330552
145489106dba
152ce7904585
hex19a3aa2c08

110120021000 has 128 divisors (see below), whose sum is σ = 293329071360. Its totient is φ = 38302528000.

The previous prime is 110120020999. The next prime is 110120021027. The reversal of 110120021000 is 120021011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35372 + ... + 470628.

It is an arithmetic number, because the mean of its divisors is an integer number (2291633370).

Almost surely, 2110120021000 is an apocalyptic number.

110120021000 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 110120021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146664535680).

110120021000 is an abundant number, since it is smaller than the sum of its proper divisors (183209050360).

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

110120021000 is a wasteful number, since it uses less digits than its factorization.

110120021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435312 (or 435298 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 110120021000 its reverse (120021011), we get a palindrome (110240042011).

The spelling of 110120021000 in words is "one hundred ten billion, one hundred twenty million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 125 184 200 220 230 250 253 275 440 460 500 506 550 575 920 1000 1012 1100 1150 1265 1375 2024 2200 2300 2530 2750 2875 4600 5060 5500 5750 6325 10120 11000 11500 12650 23000 25300 31625 50600 63250 126500 253000 435257 870514 1741028 2176285 3482056 4352570 4787827 8705140 9575654 10010911 10881425 17410280 19151308 20021822 21762850 23939135 38302616 40043644 43525700 47878270 50054555 54407125 80087288 87051400 95756540 100109110 108814250 110120021 119695675 191513080 200218220 217628500 220240042 239391350 250272775 400436440 435257000 440480084 478782700 500545550 550600105 598478375 880960168 957565400 1001091100 1101200210 1196956750 1251363875 2002182200 2202400420 2393913500 2502727750 2753000525 4404800840 4787827000 5005455500 5506001050 10010911000 11012002100 13765002625 22024004200 27530005250 55060010500 110120021000