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110100112221020 = 22554113997273489
BaseRepresentation
bin11001000010001010101110…
…000101000010001101011100
3112102211110122010100112122212
4121002022232011002031130
5103412340012212033040
61030055143204055552
732122320263410205
oct3102125605021534
9472743563315585
10110100112221020
1132099217054639
12104221809945b8
13495851c11316c
141d28c33c545ac
15cade53717d65
hex6422ae14235c

110100112221020 has 48 divisors (see below), whose sum is σ = 231803216904000. Its totient is φ = 43927212487680.

The previous prime is 110100112221019. The next prime is 110100112221023. The reversal of 110100112221020 is 20122211001011.

It is a super-2 number, since 2×1101001122210202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110100112220986 and 110100112221004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100112221023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11500436 + ... + 18773924.

It is an arithmetic number, because the mean of its divisors is an integer number (4829233685500).

Almost surely, 2110100112221020 is an apocalyptic number.

110100112221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110100112221020 is an abundant number, since it is smaller than the sum of its proper divisors (121703104682980).

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

110100112221020 is a wasteful number, since it uses less digits than its factorization.

110100112221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7275438 (or 7275436 counting only the distinct ones).

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

Adding to 110100112221020 its reverse (20122211001011), we get a palindrome (130222323222031).

The spelling of 110100112221020 in words is "one hundred ten trillion, one hundred billion, one hundred twelve million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 541 1082 1399 2164 2705 2798 5410 5596 6995 10820 13990 27980 756859 1513718 3027436 3784295 7273489 7568590 14546978 15137180 29093956 36367445 72734890 145469780 3934957549 7869915098 10175611111 15739830196 19674787745 20351222222 39349575490 40702444444 50878055555 78699150980 101756111110 203512222220 5505005611051 11010011222102 22020022444204 27525028055255 55050056110510 110100112221020