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110022211012122 = 2326112345056229
BaseRepresentation
bin11001000001000010001010…
…110011100000011000011010
3112102120000120001111002210200
4121001002022303200120122
5103410100442004341442
61025555301142523030
732113561645146123
oct3101021263403032
9472500501432720
10110022211012122
1132069180930362
121040b05ba36476
134951085a64b96
141d25163b2d04a
15cabde462334c
hex64108ace061a

110022211012122 has 12 divisors (see below), whose sum is σ = 238381457192970. Its totient is φ = 36674070337368.

The previous prime is 110022211012081. The next prime is 110022211012139. The reversal of 110022211012122 is 221210112220011.

It can be written as a sum of positive squares in only one way, i.e., 106059081653001 + 3963129359121 = 10298499^2 + 1990761^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 6112345056229 = 110022211012122 / (1 + 1 + 0 + 0 + 2 + 2 + 2 + 1 + 1 + 0 + 1 + 2 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 110022211012095 and 110022211012104.

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 5 ways as a sum of consecutive naturals, for example, 3056172528097 + ... + 3056172528132.

Almost surely, 2110022211012122 is an apocalyptic number.

110022211012122 is an abundant number, since it is smaller than the sum of its proper divisors (128359246180848).

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

110022211012122 is a wasteful number, since it uses less digits than its factorization.

110022211012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6112345056237 (or 6112345056234 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110022211012122 its reverse (221210112220011), we get a palindrome (331232323232133).

The spelling of 110022211012122 in words is "one hundred ten trillion, twenty-two billion, two hundred eleven million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 6112345056229 12224690112458 18337035168687 36674070337374 55011105506061 110022211012122