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13007224293 = 3722341103911
BaseRepresentation
bin11000001110100101…
…00111110111100101
31020120111101110022220
430013102213313211
5203114322134133
65550405542553
7640221403500
oct140722476745
936514343286
1013007224293
11557526a148
122630114a59
1312c3a3102b
148b56ca137
15511dcc5b3
hex3074a7de5

13007224293 has 96 divisors (see below), whose sum is σ = 21798346752. Its totient is φ = 6861254400.

The previous prime is 13007224277. The next prime is 13007224309. The reversal of 13007224293 is 39242270031.

It is an interprime number because it is at equal distance from previous prime (13007224277) and next prime (13007224309).

It is not a de Polignac number, because 13007224293 - 24 = 13007224277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13007224273) 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 95 ways as a sum of consecutive naturals, for example, 14277508 + ... + 14278418.

It is an arithmetic number, because the mean of its divisors is an integer number (227066112).

Almost surely, 213007224293 is an apocalyptic number.

It is an amenable number.

13007224293 is a deficient number, since it is larger than the sum of its proper divisors (8791122459).

13007224293 is a wasteful number, since it uses less digits than its factorization.

13007224293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 13007224293 in words is "thirteen billion, seven million, two hundred twenty-four thousand, two hundred ninety-three".

Divisors: 1 3 7 21 23 41 49 69 103 123 147 161 287 309 483 721 861 911 943 1127 2009 2163 2369 2733 2829 3381 4223 5047 6027 6377 6601 7107 12669 15141 16583 19131 19803 20953 29561 37351 44639 46207 49749 62859 88683 93833 97129 112053 116081 133917 138621 146671 206927 261457 281499 291387 348243 440013 620781 656831 679903 784371 859073 1026697 1830199 1970493 2039709 2158159 2577219 3080091 3847153 4597817 4759321 5490597 6013511 6474477 11541459 13793451 14277963 15107113 18040533 26930071 42094577 45321339 80790213 88484519 105749791 126283731 188510497 265453557 317249373 565531491 619391633 1858174899 4335741431 13007224293