Search a number
-
+
13132544430 = 2354317956873
BaseRepresentation
bin11000011101100001…
…01011100110101110
31020220020012101020110
430032300223212232
5203343412410210
610011044000450
7643302533355
oct141660534656
936806171213
1013132544430
115629a85005
122666090126
13131399b665
148c81cc99c
1551cdd4420
hex30ec2b9ae

13132544430 has 64 divisors (see below), whose sum is σ = 32431829760. Its totient is φ = 3401400576.

The previous prime is 13132544413. The next prime is 13132544449. The reversal of 13132544430 is 3444523131.

13132544430 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202474 + ... + 259346.

It is an arithmetic number, because the mean of its divisors is an integer number (506747340).

Almost surely, 213132544430 is an apocalyptic number.

13132544430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13132544430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16215914880).

13132544430 is an abundant number, since it is smaller than the sum of its proper divisors (19299285330).

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

13132544430 is a wasteful number, since it uses less digits than its factorization.

13132544430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57105.

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 13132544430 in words is "thirteen billion, one hundred thirty-two million, five hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 179 215 258 358 430 537 645 895 1074 1290 1790 2685 5370 7697 15394 23091 38485 46182 56873 76970 113746 115455 170619 230910 284365 341238 568730 853095 1706190 2445539 4891078 7336617 10180267 12227695 14673234 20360534 24455390 30540801 36683085 50901335 61081602 73366170 101802670 152704005 305408010 437751481 875502962 1313254443 2188757405 2626508886 4377514810 6566272215 13132544430