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1022243252121 = 327131423877133
BaseRepresentation
bin11101110000000100111…
…00100010011110011001
310121201120220000201010200
432320002130202132121
5113222023233031441
62101340112332413
7133566066163410
oct16700234423631
93551526021120
101022243252121
11364592736493
1214614b244109
13755216399a0
1437696628477
151b8ce3e47b6
hexee02722799

1022243252121 has 48 divisors (see below), whose sum is σ = 1818600516096. Its totient is φ = 538825696128.

The previous prime is 1022243252089. The next prime is 1022243252131. The reversal of 1022243252121 is 1212523422201.

1022243252121 is a `hidden beast` number, since 1 + 0 + 222 + 432 + 5 + 2 + 1 + 2 + 1 = 666.

It is not a de Polignac number, because 1022243252121 - 25 = 1022243252089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1022243252131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 726871 + ... + 1604003.

It is an arithmetic number, because the mean of its divisors is an integer number (37887510752).

Almost surely, 21022243252121 is an apocalyptic number.

It is an amenable number.

1022243252121 is a deficient number, since it is larger than the sum of its proper divisors (796357263975).

1022243252121 is a wasteful number, since it uses less digits than its factorization.

1022243252121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878582 (or 878579 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1022243252121 its reverse (1212523422201), we get a palindrome (2234766674322).

The spelling of 1022243252121 in words is "one trillion, twenty-two billion, two hundred forty-three million, two hundred fifty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 1423 4269 9961 12807 18499 29883 55497 89649 129493 166491 388479 877133 1165437 2631399 6139931 7894197 11402729 18419793 34208187 55259379 79819103 102624561 239457309 718371927 1248160259 3744480777 8737121813 11233442331 16226083367 26211365439 48678250101 78634096317 113582583569 146034750303 340747750707 1022243252121