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13123401333 = 372731222943
BaseRepresentation
bin11000011100011011…
…10011011001110101
31020212120222212021020
430032031303121311
5203334042320313
610010120011353
7643132033200
oct141615633165
936776885236
1013123401333
1156248aa729
122663000b59
131311b19b43
148c6ccc937
1551c1ca323
hex30e373675

13123401333 has 24 divisors (see below), whose sum is σ = 20633511168. Its totient is φ = 7396353216.

The previous prime is 13123401323. The next prime is 13123401359. The reversal of 13123401333 is 33310432131.

It is a happy number.

It is not a de Polignac number, because 13123401333 - 213 = 13123393141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123401323) 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, 600741 + ... + 622202.

It is an arithmetic number, because the mean of its divisors is an integer number (859729632).

Almost surely, 213123401333 is an apocalyptic number.

It is an amenable number.

13123401333 is a deficient number, since it is larger than the sum of its proper divisors (7510109835).

13123401333 is a wasteful number, since it uses less digits than its factorization.

13123401333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223033 (or 1223026 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13123401333 its reverse (33310432131), we get a palindrome (46433833464).

The spelling of 13123401333 in words is "thirteen billion, one hundred twenty-three million, four hundred one thousand, three hundred thirty-three".

Divisors: 1 3 7 21 49 73 147 219 511 1533 3577 10731 1222943 3668829 8560601 25681803 59924207 89274839 179772621 267824517 624923873 1874771619 4374467111 13123401333