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1022133000112 = 24753172192217
BaseRepresentation
bin11101101111110111101…
…11111101011110110000
310121201022012120022210221
432313323313331132300
5113221312022000422
62101321133302424
7133563260102110
oct16677367753660
93551265508727
101022133000112
11364536482524
1214611a334a14
1375504846a03
1437685b29040
151b8c48b73c7
hexedfbdfd7b0

1022133000112 has 40 divisors (see below), whose sum is σ = 2305998183456. Its totient is φ = 429791771136.

The previous prime is 1022133000101. The next prime is 1022133000113. The reversal of 1022133000112 is 2110003312201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1022133000113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86090173 + ... + 86102044.

Almost surely, 21022133000112 is an apocalyptic number.

It is an amenable number.

1022133000112 is an abundant number, since it is smaller than the sum of its proper divisors (1283865183344).

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

1022133000112 is a wasteful number, since it uses less digits than its factorization.

1022133000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172192285 (or 172192279 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1022133000112 its reverse (2110003312201), we get a palindrome (3132136312313).

The spelling of 1022133000112 in words is "one trillion, twenty-two billion, one hundred thirty-three million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1484 2968 5936 172192217 344384434 688768868 1205345519 1377537736 2410691038 2755075472 4821382076 9126187501 9642764152 18252375002 19285528304 36504750004 63883312507 73009500008 127766625014 146019000016 255533250028 511066500056 1022133000112