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1110022000192 = 2673172974463
BaseRepresentation
bin10000001001110010011…
…101111000111001000000
310221010011100020010110001
4100021302131320321000
5121141311113001232
62205534223445344
7143124244216000
oct20116235707100
93833140203401
101110022000192
11398837532086
1215b168156854
13808a01c93c1
143ba22516000
151dd1a7576e7
hex10272778e40

1110022000192 has 112 divisors (see below), whose sum is σ = 2719849881600. Its totient is φ = 447739815936.

The previous prime is 1110022000189. The next prime is 1110022000193. The reversal of 1110022000192 is 2910002200111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (1110022000193) 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 15 ways as a sum of consecutive naturals, for example, 1114048 + ... + 1860415.

Almost surely, 21110022000192 is an apocalyptic number.

It is an amenable number.

1110022000192 is an abundant number, since it is smaller than the sum of its proper divisors (1609827881408).

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

1110022000192 is an equidigital number, since it uses as much as digits as its factorization.

1110022000192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974513 (or 2974489 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 1110022000192 in words is "one trillion, one hundred ten billion, twenty-two million, one hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 136 196 224 238 272 343 392 448 476 544 686 784 833 952 1088 1372 1568 1666 1904 2744 3136 3332 3808 5488 5831 6664 7616 10976 11662 13328 21952 23324 26656 46648 53312 93296 186592 373184 2974463 5948926 11897852 20821241 23795704 41642482 47591408 50565871 83284964 95182816 101131742 145748687 166569928 190365632 202263484 291497374 333139856 353961097 404526968 582994748 666279712 707922194 809053936 1020240809 1165989496 1332559424 1415844388 1618107872 2040481618 2331978992 2477727679 2831688776 3236215744 4080963236 4663957984 4955455358 5663377552 8161926472 9327915968 9910910716 11326755104 16323852944 17344093753 19821821432 22653510208 32647705888 34688187506 39643642864 65295411776 69376375012 79287285728 138752750024 158574571456 277505500048 555011000096 1110022000192