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110220102022122 = 23217733491400289
BaseRepresentation
bin11001000011111010011110…
…000001110011001111101010
3112110020221100102022222220100
4121003322132001303033222
5103421321232104201442
61030230225454010230
732134065610034211
oct3103723601631752
9473227312288810
10110220102022122
11321350a0183114
12104414891a6976
134966932169281
141d30977aa4078
15cb212785684c
hex643e9e0733ea

110220102022122 has 48 divisors (see below), whose sum is σ = 253202844627720. Its totient is φ = 34531681038336.

The previous prime is 110220102022091. The next prime is 110220102022141. The reversal of 110220102022122 is 221220201022011.

It is a happy number.

110220102022122 is a `hidden beast` number, since 110 + 220 + 10 + 202 + 2 + 122 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 94631668750161 + 15588433271961 = 9727881^2 + 3948219^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110220102022095 and 110220102022104.

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, 245475847 + ... + 245924442.

Almost surely, 2110220102022122 is an apocalyptic number.

110220102022122 is an abundant number, since it is smaller than the sum of its proper divisors (142982742605598).

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

110220102022122 is a wasteful number, since it uses less digits than its factorization.

110220102022122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491401047 (or 491401044 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 110220102022122 its reverse (221220201022011), we get a palindrome (331440303044133).

The spelling of 110220102022122 in words is "one hundred ten trillion, two hundred twenty billion, one hundred two million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 733 1466 2199 4398 6597 12461 13194 24922 37383 74766 112149 224298 491400289 982800578 1474200867 2948401734 4422602601 8353804913 8845205202 16707609826 25061414739 50122829478 75184244217 150368488434 360196411837 720392823674 1080589235511 2161178471022 3241767706533 6123339001229 6483535413066 12246678002458 18370017003687 36740034007374 55110051011061 110220102022122