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110112221012020 = 2253110111311155461
BaseRepresentation
bin11001000010010101111111…
…110100011010000000110100
3112102212121220000011212012121
4121002111333310122000310
5103413034312034341040
61030104504521325324
732123226325421653
oct3102257764320064
9472777800155177
10110112221012020
11320a3370161527
12104245a0036844
1349596cb978956
141d296620b119a
15cae4117c7c4a
hex64257fd1a034

110112221012020 has 96 divisors (see below), whose sum is σ = 241081057308672. Its totient is φ = 42198062400000.

The previous prime is 110112221011801. The next prime is 110112221012069. The reversal of 110112221012020 is 20210122211011.

It is a super-3 number, since 3×1101122210120203 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110112221011985 and 110112221012003.

It is a congruent number.

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, 708217090 + ... + 708372550.

It is an arithmetic number, because the mean of its divisors is an integer number (2511261013632).

Almost surely, 2110112221012020 is an apocalyptic number.

110112221012020 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 110112221012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120540528654336).

110112221012020 is an abundant number, since it is smaller than the sum of its proper divisors (130968836296652).

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

110112221012020 is a wasteful number, since it uses less digits than its factorization.

110112221012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166913 (or 166911 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 110112221012020 its reverse (20210122211011), we get a palindrome (130322343223031).

The spelling of 110112221012020 in words is "one hundred ten trillion, one hundred twelve billion, two hundred twenty-one million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 101 124 155 202 310 404 505 620 1010 2020 3131 6262 11311 12524 15655 22622 31310 45244 56555 62620 113110 155461 226220 310922 350641 621844 701282 777305 1142411 1402564 1554610 1753205 2284822 3109220 3506410 4569644 4819291 5712055 7012820 9638582 11424110 15701561 19277164 22848220 24096455 31403122 35414741 48192910 62806244 70829482 78507805 96385820 141658964 157015610 177073705 314031220 354147410 486748391 708294820 973496782 1758419371 1946993564 2433741955 3516838742 4867483910 7033677484 8792096855 9734967820 17584193710 35168387420 54511000501 109022001002 177600356471 218044002004 272555002505 355200712942 545110005010 710401425884 888001782355 1090220010020 1776003564710 3552007129420 5505611050601 11011222101202 22022444202404 27528055253005 55056110506010 110112221012020