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110210112120020 = 225117922132865433
BaseRepresentation
bin11001000011110001001010…
…100101010110010011010100
3112110012222120012120101111012
4121003301022211112103110
5103421140302200320040
61030221454311431352
732133263214210203
oct3103611245262324
9473188505511435
10110210112120020
1132130934135880
121043b55b685558
1349659cc5a60b3
141d302ab00d23a
15cb1c407e0865
hex643c4a9564d4

110210112120020 has 96 divisors (see below), whose sum is σ = 255792937720320. Its totient is φ = 39551214044160.

The previous prime is 110210112119999. The next prime is 110210112120023. The reversal of 110210112120020 is 20021211012011.

It is a junction number, because it is equal to n+sod(n) for n = 110210112119977 and 110210112120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110210112120023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37029224 + ... + 39894656.

It is an arithmetic number, because the mean of its divisors is an integer number (2664509767920).

Almost surely, 2110210112120020 is an apocalyptic number.

110210112120020 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 110210112120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127896468860160).

110210112120020 is an abundant number, since it is smaller than the sum of its proper divisors (145582825600300).

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

110210112120020 is a wasteful number, since it uses less digits than its factorization.

110210112120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867745 (or 2867743 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110210112120020 its reverse (20021211012011), we get a palindrome (130231323132031).

The spelling of 110210112120020 in words is "one hundred ten trillion, two hundred ten billion, one hundred twelve million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 790 869 1580 1738 2213 3476 4345 4426 8690 8852 11065 17380 22130 24343 44260 48686 97372 121715 174827 243430 349654 486860 699308 874135 1748270 1923097 2865433 3496540 3846194 5730866 7692388 9615485 11461732 14327165 19230970 28654330 31519763 38461940 57308660 63039526 126079052 157598815 226369207 315197630 452738414 630395260 905476828 1131846035 2263692070 2490061277 4527384140 4980122554 6341203229 9960245108 12450306385 12682406458 24900612770 25364812916 31706016145 49801225540 63412032290 69753235519 126824064580 139506471038 279012942076 348766177595 500955055091 697532355190 1001910110182 1395064710380 2003820220364 2504775275455 5009550550910 5510505606001 10019101101820 11021011212002 22042022424004 27552528030005 55105056060010 110210112120020