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1303113123 = 33133712573
BaseRepresentation
bin100110110101011…
…1110110110100011
310100211001000011000
41031222332312203
510132044104443
6333150123043
744202164424
oct11552766643
93324030130
101303113123
116096341a4
123044b0483
13179c87c70
14c50d164b
15796078d3
hex4dabeda3

1303113123 has 16 divisors (see below), whose sum is σ = 2079041440. Its totient is φ = 801915552.

The previous prime is 1303113109. The next prime is 1303113131. The reversal of 1303113123 is 3213113031.

It is a happy number.

It is not a de Polignac number, because 1303113123 - 26 = 1303113059 is a prime.

It is a super-2 number, since 2×13031131232 = 3396207622669626258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1303113096 and 1303113105.

It is not an unprimeable number, because it can be changed into a prime (1303113193) 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 15 ways as a sum of consecutive naturals, for example, 1855936 + ... + 1856637.

It is an arithmetic number, because the mean of its divisors is an integer number (129940090).

Almost surely, 21303113123 is an apocalyptic number.

1303113123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1303113123 is a deficient number, since it is larger than the sum of its proper divisors (775928317).

1303113123 is a wasteful number, since it uses less digits than its factorization.

1303113123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712595 (or 3712589 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1303113123 is about 36098.6581883593. The cubic root of 1303113123 is about 1092.2633783862.

Adding to 1303113123 its reverse (3213113031), we get a palindrome (4516226154).

The spelling of 1303113123 in words is "one billion, three hundred three million, one hundred thirteen thousand, one hundred twenty-three".

Divisors: 1 3 9 13 27 39 117 351 3712573 11137719 33413157 48263449 100239471 144790347 434371041 1303113123