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13023123432 = 23311283174311
BaseRepresentation
bin11000010000011110…
…10001011111101000
31020121121022012211220
430020033101133220
5203132404422212
65552134422040
7640503502614
oct141017213750
936547265756
1013023123432
115583239430
122635501920
1312c71099c7
148b7868344
155134bd38c
hex3083d17e8

13023123432 has 64 divisors (see below), whose sum is σ = 35643317760. Its totient is φ = 3932433600.

The previous prime is 13023123397. The next prime is 13023123461. The reversal of 13023123432 is 23432132031.

It is a super-3 number, since 3×130231234323 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12444 + ... + 161867.

It is an arithmetic number, because the mean of its divisors is an integer number (556926840).

Almost surely, 213023123432 is an apocalyptic number.

13023123432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13023123432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17821658880).

13023123432 is an abundant number, since it is smaller than the sum of its proper divisors (22620194328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13023123432 is a wasteful number, since it uses less digits than its factorization.

13023123432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174614 (or 174610 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13023123432 its reverse (23432132031), we get a palindrome (36455255463).

The spelling of 13023123432 in words is "thirteen billion, twenty-three million, one hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 283 566 849 1132 1698 2264 3113 3396 6226 6792 9339 12452 18678 24904 37356 74712 174311 348622 522933 697244 1045866 1394488 1917421 2091732 3834842 4183464 5752263 7669684 11504526 15339368 23009052 46018104 49330013 98660026 147990039 197320052 295980078 394640104 542630143 591960156 1085260286 1183920312 1627890429 2170520572 3255780858 4341041144 6511561716 13023123432