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22210100120 = 23513103414677
BaseRepresentation
bin10100101011110100…
…110011101110011000
32010022212012222122202
4110223310303232120
5330441241200440
614111515305332
71414246510325
oct245364635630
963285188582
1022210100120
119468027a4a
12437a14b248
13212c5345a0
141109a31b4c
1589ecd0615
hex52bd33b98

22210100120 has 64 divisors (see below), whose sum is σ = 54339405120. Its totient is φ = 8121014784.

The previous prime is 22210100113. The next prime is 22210100123. The reversal of 22210100120 is 2100101222.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22210100123) 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, 153779 + ... + 260898.

It is an arithmetic number, because the mean of its divisors is an integer number (849053205).

Almost surely, 222210100120 is an apocalyptic number.

22210100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22210100120 is an abundant number, since it is smaller than the sum of its proper divisors (32129305000).

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

22210100120 is a wasteful number, since it uses less digits than its factorization.

22210100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414804 (or 414800 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22210100120 its reverse (2100101222), we get a palindrome (24310201342).

The spelling of 22210100120 in words is "twenty-two billion, two hundred ten million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 103 104 130 206 260 412 515 520 824 1030 1339 2060 2678 4120 5356 6695 10712 13390 26780 53560 414677 829354 1658708 2073385 3317416 4146770 5390801 8293540 10781602 16587080 21563204 26954005 42711731 43126408 53908010 85423462 107816020 170846924 213558655 215632040 341693848 427117310 555252503 854234620 1110505006 1708469240 2221010012 2776262515 4442020024 5552525030 11105050060 22210100120