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110021001112 = 231123117321193
BaseRepresentation
bin110011001110111000…
…0110011111110011000
3101111222112220221111001
41212131300303332120
53300310334013422
6122313135514344
710643265036121
oct1463560637630
9344875827431
10110021001112
1142728a94600
12193a59889b4
13a4b4970bb9
145479ccd048
152cddd95227
hex199dc33f98

110021001112 has 96 divisors (see below), whose sum is σ = 235426343040. Its totient is φ = 48114316800.

The previous prime is 110021001059. The next prime is 110021001151. The reversal of 110021001112 is 211100120011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5180788 + ... + 5201980.

It is an arithmetic number, because the mean of its divisors is an integer number (2452357740).

Almost surely, 2110021001112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110021001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117713171520).

110021001112 is an abundant number, since it is smaller than the sum of its proper divisors (125405341928).

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

110021001112 is a wasteful number, since it uses less digits than its factorization.

110021001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21425 (or 21410 counting only the distinct ones).

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

Adding to 110021001112 its reverse (211100120011), we get a palindrome (321121121123).

The spelling of 110021001112 in words is "one hundred ten billion, twenty-one million, one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 173 242 248 341 346 484 682 692 968 1364 1384 1903 2728 3751 3806 5363 7502 7612 10726 15004 15224 20933 21193 21452 30008 41866 42386 42904 58993 83732 84772 117986 167464 169544 233123 235972 466246 471944 648923 656983 932492 1297846 1313966 1864984 2564353 2595692 2627932 3666389 5128706 5191384 5255864 7226813 7332778 10257412 14453626 14665556 20514824 28907252 29331112 40330279 57814504 79494943 80660558 113658059 158989886 161321116 227316118 317979772 322642232 443633069 454632236 635959544 887266138 909264472 1250238649 1774532276 2500477298 3549064552 5000954596 10001909192 13752625139 27505250278 55010500556 110021001112