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1293030921 = 3713191092287
BaseRepresentation
bin100110100010010…
…0001011000001001
310100010001202222010
41031010201120021
510122003442141
6332150050133
744020403310
oct11504413011
93303052863
101293030921
116039782a6
12301049949
13177b67b70
14c3a29277
15787b5416
hex4d121609

1293030921 has 64 divisors (see below), whose sum is σ = 2255052800. Its totient is φ = 639933696.

The previous prime is 1293030887. The next prime is 1293030929. The reversal of 1293030921 is 1290303921.

It is a happy number.

It is not a de Polignac number, because 1293030921 - 211 = 1293028873 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1293030929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 564240 + ... + 566526.

It is an arithmetic number, because the mean of its divisors is an integer number (35235200).

Almost surely, 21293030921 is an apocalyptic number.

It is an amenable number.

1293030921 is a deficient number, since it is larger than the sum of its proper divisors (962021879).

1293030921 is a wasteful number, since it uses less digits than its factorization.

1293030921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438.

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 1293030921 is about 35958.7391464161. The cubic root of 1293030921 is about 1089.4391304091.

The spelling of 1293030921 in words is "one billion, two hundred ninety-three million, thirty thousand, nine hundred twenty-one".

Divisors: 1 3 7 13 19 21 39 57 91 109 133 247 273 327 399 741 763 1417 1729 2071 2287 2289 4251 5187 6213 6861 9919 14497 16009 26923 29731 29757 43453 43491 48027 80769 89193 130359 188461 208117 249283 304171 564889 565383 624351 747849 912513 1694667 1744981 3240679 3954223 4736377 5234943 9722037 11862669 14209131 22684753 33154639 61572901 68054259 99463917 184718703 431010307 1293030921