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22122021200193 = 3231711622968813
BaseRepresentation
bin1010000011110101011110…
…01101110010000101000001
32220022211210200201120112200
411001322233031302011001
510344421344411401233
6115014414412543413
74442156210432205
oct501725715620501
986284720646480
1022122021200193
11705999527a622
122593490181b69
13c461366c02c5
145669d666ab05
152856a04b8313
hex141eaf372141

22122021200193 has 48 divisors (see below), whose sum is σ = 33451927741440. Its totient is φ = 14070182313600.

The previous prime is 22122021200179. The next prime is 22122021200197. The reversal of 22122021200193 is 39100212022122.

22122021200193 is a `hidden beast` number, since 221 + 220 + 2 + 1 + 200 + 19 + 3 = 666.

It is not a de Polignac number, because 22122021200193 - 25 = 22122021200161 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22122021200197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321445855 + ... + 321514667.

It is an arithmetic number, because the mean of its divisors is an integer number (696915161280).

Almost surely, 222122021200193 is an apocalyptic number.

It is an amenable number.

22122021200193 is a deficient number, since it is larger than the sum of its proper divisors (11329906541247).

22122021200193 is a wasteful number, since it uses less digits than its factorization.

22122021200193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85150 (or 85147 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 22122021200193 in words is "twenty-two trillion, one hundred twenty-two billion, twenty-one million, two hundred thousand, one hundred ninety-three".

Divisors: 1 3 9 31 71 93 213 279 639 2201 6603 16229 19809 48687 68813 146061 206439 503099 619317 1152259 1509297 2133203 3456777 4527891 4885723 6399609 10370331 14657169 19198827 35720029 43971507 107160087 151457413 321480261 454372239 1116766177 1363116717 3350298531 10050895593 34619751487 79290398567 103859254461 237871195701 311577763383 713613587103 2458002355577 7374007066731 22122021200193