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110112121020 = 2235111011651847
BaseRepresentation
bin110011010001100110…
…0011010000010111100
3101112012220101022111110
41212203030122002330
53301002200333040
6122330152522020
710645452404616
oct1464314320274
9345186338443
10110112121020
1142775470310
12194103b0310
13a4ca7c57c5
14548804bdb6
152ce6d93980
hex19a331a0bc

110112121020 has 96 divisors (see below), whose sum is σ = 339672807936. Its totient is φ = 26429536000.

The previous prime is 110112121019. The next prime is 110112121051. The reversal of 110112121020 is 20121211011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110112120987 and 110112121005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 759264 + ... + 892583.

It is an arithmetic number, because the mean of its divisors is an integer number (3538258416).

Almost surely, 2110112121020 is an apocalyptic number.

110112121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110112121020 is an abundant number, since it is smaller than the sum of its proper divisors (229560686916).

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

110112121020 is a wasteful number, since it uses less digits than its factorization.

110112121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651971 (or 1651969 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110112121020 its reverse (20121211011), we get a palindrome (130233332031).

It can be divided in two parts, 110112 and 121020, that added together give a palindrome (231132).

The spelling of 110112121020 in words is "one hundred ten billion, one hundred twelve million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 22220 33330 66660 1651847 3303694 4955541 6607388 8259235 9911082 16518470 18170317 19822164 24777705 33036940 36340634 49555410 54510951 72681268 90851585 99110820 109021902 166836547 181703170 218043804 272554755 333673094 363406340 500509641 545109510 667346188 834182735 1001019282 1090219020 1668365470 1835202017 2002038564 2502548205 3336730940 3670404034 5005096410 5505606051 7340808068 9176010085 10010192820 11011212102 18352020170 22022424204 27528030255 36704040340 55056060510 110112121020