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22001212112148 = 2232611144780893
BaseRepresentation
bin1010000000010100011100…
…11011101011110100010100
32212220021222022010000220100
411000022032123223310110
510340431440300042043
6114443114534534100
74430351355222423
oct500121633536424
985807868100810
1022001212112148
1170127307376a5
122573b95507330
13c379229c0619
14560c15ab12ba
1528247e492cd3
hex14028e6ebd14

22001212112148 has 18 divisors (see below), whose sum is σ = 55614175061354. Its totient is φ = 7333737370704.

The previous prime is 22001212112147. The next prime is 22001212112221. The reversal of 22001212112148 is 84121121210022.

22001212112148 is a `hidden beast` number, since 220 + 0 + 1 + 212 + 11 + 214 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15043708618884 + 6957503493264 = 3878622^2 + 2637708^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001212112147) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 305572390411 + ... + 305572390482.

Almost surely, 222001212112148 is an apocalyptic number.

It is an amenable number.

22001212112148 is an abundant number, since it is smaller than the sum of its proper divisors (33612962949206).

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

22001212112148 is a wasteful number, since it uses less digits than its factorization.

22001212112148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611144780903 (or 611144780898 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 22001212112148 in words is "twenty-two trillion, one billion, two hundred twelve million, one hundred twelve thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 611144780893 1222289561786 1833434342679 2444579123572 3666868685358 5500303028037 7333737370716 11000606056074 22001212112148