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110000312212 = 22771199278051
BaseRepresentation
bin110011001110010000…
…1111000111110010100
3101111221002222211122111
41212130201320332110
53300240034442322
6122311120240404
710642624140460
oct1463441707624
9344832884574
10110000312212
114271834373a
121939aa70104
13a4b05a904b
1454772654a0
152cdc15a177
hex199c878f94

110000312212 has 48 divisors (see below), whose sum is σ = 224221132800. Its totient is φ = 46245276000.

The previous prime is 110000312179. The next prime is 110000312231. The reversal of 110000312212 is 212213000011.

It is a super-3 number, since 3×1100003122123 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110000312192 and 110000312201.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 256587 + ... + 534637.

It is an arithmetic number, because the mean of its divisors is an integer number (4671273600).

Almost surely, 2110000312212 is an apocalyptic number.

It is an amenable number.

110000312212 is an abundant number, since it is smaller than the sum of its proper divisors (114220820588).

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

110000312212 is a wasteful number, since it uses less digits than its factorization.

110000312212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278332 (or 278330 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 110000312212 its reverse (212213000011), we get a palindrome (322213312223).

The spelling of 110000312212 in words is "one hundred ten billion, three hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 71 142 199 284 398 497 796 994 1393 1988 2786 5572 14129 28258 56516 98903 197806 278051 395612 556102 1112204 1946357 3892714 7785428 19741621 39483242 55332149 78966484 110664298 138191347 221328596 276382694 387325043 552765388 774650086 1549300172 3928582579 7857165158 15714330316 27500078053 55000156106 110000312212