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993121269 = 37229232963
BaseRepresentation
bin111011001100011…
…101001111110101
32120012201210021020
4323030131033311
54013214340034
6242314011353
733416251200
oct7314351765
92505653236
10993121269
1146a655788
12238716b59
1312a99c22a
1495c7a937
155c2c3249
hex3b31d3f5

993121269 has 24 divisors (see below), whose sum is σ = 1593473760. Its totient is φ = 547926624.

The previous prime is 993121253. The next prime is 993121271. The reversal of 993121269 is 962121399.

It is not a de Polignac number, because 993121269 - 24 = 993121253 is a prime.

It is a super-2 number, since 2×9931212692 = 1972579709880340722, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 993121269.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993121289) 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 23 ways as a sum of consecutive naturals, for example, 112219 + ... + 120744.

It is an arithmetic number, because the mean of its divisors is an integer number (66394740).

Almost surely, 2993121269 is an apocalyptic number.

It is an amenable number.

993121269 is a deficient number, since it is larger than the sum of its proper divisors (600352491).

993121269 is a wasteful number, since it uses less digits than its factorization.

993121269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233009 (or 233002 counting only the distinct ones).

The product of its digits is 52488, while the sum is 42.

The square root of 993121269 is about 31513.8266321309. The cubic root of 993121269 is about 997.7018120449.

The spelling of 993121269 in words is "nine hundred ninety-three million, one hundred twenty-one thousand, two hundred sixty-nine".

Divisors: 1 3 7 21 29 49 87 147 203 609 1421 4263 232963 698889 1630741 4892223 6755927 11415187 20267781 34245561 47291489 141874467 331040423 993121269