Search a number
-
+
20131320032 = 2517234793359
BaseRepresentation
bin10010101111111010…
…111001000011100000
31220221222122000110122
4102233322321003200
5312212104220112
613125340015412
71311605253065
oct225772710340
956858560418
1020131320032
1185a067277a
123a99b31568
131b8a9661b5
14d8d90ac6c
157cc55a872
hex4afeb90e0

20131320032 has 96 divisors (see below), whose sum is σ = 43893964800. Its totient is φ = 9040058368.

The previous prime is 20131320029. The next prime is 20131320089. The reversal of 20131320032 is 23002313102.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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, 5991569 + ... + 5994927.

It is an arithmetic number, because the mean of its divisors is an integer number (457228800).

Almost surely, 220131320032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20131320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21946982400).

20131320032 is an abundant number, since it is smaller than the sum of its proper divisors (23762644768).

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

20131320032 is a wasteful number, since it uses less digits than its factorization.

20131320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3888 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 20131320032 its reverse (23002313102), we get a palindrome (43133633134).

The spelling of 20131320032 in words is "twenty billion, one hundred thirty-one million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 136 184 272 368 391 479 544 736 782 958 1564 1916 3128 3359 3832 6256 6718 7664 8143 11017 12512 13436 15328 16286 22034 26872 32572 44068 53744 57103 65144 77257 88136 107488 114206 130288 154514 176272 187289 228412 260576 309028 352544 374578 456824 618056 749156 913648 1236112 1313369 1498312 1608961 1827296 2472224 2626738 2996624 3217922 5253476 5993248 6435844 10506952 12871688 21013904 25743376 27352337 37006103 42027808 51486752 54704674 74012206 109409348 148024412 218818696 296048824 437637392 592097648 629103751 875274784 1184195296 1258207502 2516415004 5032830008 10065660016 20131320032