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1002120093 = 3513317227
BaseRepresentation
bin111011101110110…
…010001110011101
32120211122222100000
4323232302032131
54023020320333
6243234524513
733555610632
oct7356621635
92524588300
101002120093
11474741727
1223b736739
1312c800190
1497140189
155ce9e713
hex3bbb239d

1002120093 has 24 divisors (see below), whose sum is σ = 1616593888. Its totient is φ = 616687344.

The previous prime is 1002120079. The next prime is 1002120101. The reversal of 1002120093 is 3900212001.

It is a happy number.

It is not a de Polignac number, because 1002120093 - 218 = 1001857949 is a prime.

It is a super-3 number, since 3×10021200933 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002140093) 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, 155455 + ... + 161772.

Almost surely, 21002120093 is an apocalyptic number.

1002120093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1002120093 is a deficient number, since it is larger than the sum of its proper divisors (614473795).

1002120093 is an equidigital number, since it uses as much as digits as its factorization.

1002120093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317255 (or 317243 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1002120093 is about 31656.2804669153. The cubic root of 1002120093 is about 1000.7061988325.

Adding to 1002120093 its reverse (3900212001), we get a palindrome (4902332094).

The spelling of 1002120093 in words is "one billion, two million, one hundred twenty thousand, ninety-three".

Divisors: 1 3 9 13 27 39 81 117 243 351 1053 3159 317227 951681 2855043 4123951 8565129 12371853 25695387 37115559 77086161 111346677 334040031 1002120093