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223122100113 = 321119118618873
BaseRepresentation
bin1100111111001100011…
…1010000111110010001
3210022220202121001221200
43033303013100332101
512123423224200423
6250300104541413
722056113362413
oct3176307207621
9708822531850
10223122100113
1186697677250
12372ab181869
131806a78c113
14ab28cb49b3
155c0d351d43
hex33f31d0f91

223122100113 has 24 divisors (see below), whose sum is σ = 370090886880. Its totient is φ = 128108381760.

The previous prime is 223122100111. The next prime is 223122100129. The reversal of 223122100113 is 311001221322.

It is not a de Polignac number, because 223122100113 - 21 = 223122100111 is a prime.

It is a super-3 number, since 3×2231221001133 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (223122100111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59307556 + ... + 59311317.

It is an arithmetic number, because the mean of its divisors is an integer number (15420453620).

Almost surely, 2223122100113 is an apocalyptic number.

It is an amenable number.

223122100113 is a deficient number, since it is larger than the sum of its proper divisors (146968786767).

223122100113 is a wasteful number, since it uses less digits than its factorization.

223122100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118618909 (or 118618906 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 223122100113 its reverse (311001221322), we get a palindrome (534123321435).

The spelling of 223122100113 in words is "two hundred twenty-three billion, one hundred twenty-two million, one hundred thousand, one hundred thirteen".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 118618873 355856619 1067569857 1304807603 2253758587 3914422809 6761275761 11743268427 20283827283 24791344457 74374033371 223122100113