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110103412322 = 21925322332
BaseRepresentation
bin110011010001010101…
…1001011111001100010
3101112012021222212102002
41212202223023321202
53300442433143242
6122325242124002
710645315364051
oct1464253137142
9345167885362
10110103412322
1142770562342
12194094b0602
13a4c8a66927
145486c22398
152ce6223432
hex19a2acbe62

110103412322 has 54 divisors (see below), whose sum is σ = 178421555907. Its totient is φ = 50950590912.

The previous prime is 110103412319. The next prime is 110103412333. The reversal of 110103412322 is 223214301011.

It can be written as a sum of positive squares in 5 ways, for example, as 45291926761 + 64811485561 = 212819^2 + 254581^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=234631.

It is a super-2 number, since 2×1101034123222 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110103412294 and 110103412303.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 472546718 + ... + 472546950.

Almost surely, 2110103412322 is an apocalyptic number.

110103412322 is a deficient number, since it is larger than the sum of its proper divisors (68318143585).

110103412322 is an frugal number, since it uses more digits than its factorization.

110103412322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Multiplying 110103412322 by its product of nonzero digits (288), we get a square (31709782748736 = 56311442).

Adding to 110103412322 its reverse (223214301011), we get a palindrome (333317713333).

The spelling of 110103412322 in words is "one hundred ten billion, one hundred three million, four hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 19 38 53 106 233 361 466 722 1007 2014 2809 4427 5618 8854 12349 19133 24698 38266 53371 54289 84113 106742 108578 168226 234631 469262 654497 1014049 1031491 1308994 2028098 2062982 2877317 4457989 5754634 8915978 12435443 19598329 24870886 39196658 54669023 109338046 152497801 236273417 304995602 472546834 1038711437 2077422874 2897458219 5794916438 55051706161 110103412322