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23011122312 = 2332319598921
BaseRepresentation
bin10101011011100100…
…011101110010001000
32012101200111010112100
4111123210131302020
5334111321403222
614323212113400
71443144212103
oct253344356210
965350433470
1023011122312
1198391a6862
124562465860
132229484809
14118418573a
158ea2aa4ac
hex55b91dc88

23011122312 has 24 divisors (see below), whose sum is σ = 62321789790. Its totient is φ = 7670374080.

The previous prime is 23011122311. The next prime is 23011122349. The reversal of 23011122312 is 21322111032.

23011122312 is a `hidden beast` number, since 230 + 1 + 1 + 122 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13634298756 + 9376823556 = 116766^2 + 96834^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23011122311) by changing a digit.

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, 159799389 + ... + 159799532.

Almost surely, 223011122312 is an apocalyptic number.

It is an amenable number.

23011122312 is an abundant number, since it is smaller than the sum of its proper divisors (39310667478).

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

23011122312 is a wasteful number, since it uses less digits than its factorization.

23011122312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319598933 (or 319598926 counting only the distinct ones).

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

Adding to 23011122312 its reverse (21322111032), we get a palindrome (44333233344).

The spelling of 23011122312 in words is "twenty-three billion, eleven million, one hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 319598921 639197842 958796763 1278395684 1917593526 2556791368 2876390289 3835187052 5752780578 7670374104 11505561156 23011122312