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22123014100133 = 295576301217361
BaseRepresentation
bin1010000011110111010100…
…11001011001010010100101
32220022221100220001010012112
411001323222121121102211
510344430413102201013
6115015101122130405
74442222625102212
oct501735231312245
986287326033175
1022123014100133
11705a354793a91
1225937087b0a05
13c4626431286b
14566a8c48ab09
1528570c745ba8
hex141eea6594a5

22123014100133 has 16 divisors (see below), whose sum is σ = 22930708523760. Its totient is φ = 21318321024000.

The previous prime is 22123014100079. The next prime is 22123014100171. The reversal of 22123014100133 is 33100141032122.

It can be written as a sum of positive squares in 8 ways, for example, as 5692127529124 + 16430886571009 = 2385818^2 + 4053503^2 .

It is a cyclic number.

It is not a de Polignac number, because 22123014100133 - 236 = 22054294623397 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22123014100099 and 22123014100108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22123004100133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101671373 + ... + 101888733.

It is an arithmetic number, because the mean of its divisors is an integer number (1433169282735).

Almost surely, 222123014100133 is an apocalyptic number.

It is an amenable number.

22123014100133 is a deficient number, since it is larger than the sum of its proper divisors (807694423627).

22123014100133 is a wasteful number, since it uses less digits than its factorization.

22123014100133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224248.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 22123014100133 its reverse (33100141032122), we get a palindrome (55223155132255).

The spelling of 22123014100133 in words is "twenty-two trillion, one hundred twenty-three billion, fourteen million, one hundred thousand, one hundred thirty-three".

Divisors: 1 29 557 6301 16153 182729 217361 3509657 6303469 101780053 121070077 1369591661 3511032233 39718158169 762862555177 22123014100133