Search a number
-
+
31211344133420 = 225112910531464539
BaseRepresentation
bin1110001100010111101010…
…00101000111110100101100
311002111202221020101120000012
413012023311011013310230
513042331313044232140
6150214143223552352
76400642126546433
oct706136505076454
9132452836346005
1031211344133420
119a437250a3520
123600b73bbb6b8
1314552a9032429
1479c8cc36611a
15391d2a87e265
hex1c62f5147d2c

31211344133420 has 96 divisors (see below), whose sum is σ = 73975133433600. Its totient is φ = 10957150713600.

The previous prime is 31211344133407. The next prime is 31211344133443. The reversal of 31211344133420 is 2433144311213.

It is a super-2 number, since 2×312113441334202 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66955511 + ... + 67420049.

It is an arithmetic number, because the mean of its divisors is an integer number (770574306600).

Almost surely, 231211344133420 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 31211344133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36987566716800).

31211344133420 is an abundant number, since it is smaller than the sum of its proper divisors (42763789300180).

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

31211344133420 is a wasteful number, since it uses less digits than its factorization.

31211344133420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475119 (or 475117 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 31211344133420 its reverse (2433144311213), we get a palindrome (33644488444633).

The spelling of 31211344133420 in words is "thirty-one trillion, two hundred eleven billion, three hundred forty-four million, one hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 6380 10531 21062 42124 52655 105310 115841 210620 231682 305399 463364 464539 579205 610798 929078 1158410 1221596 1526995 1858156 2316820 2322695 3053990 3359389 4645390 5109929 6107980 6718778 9290780 10219858 13437556 13471631 16796945 20439716 25549645 26943262 33593890 51099290 53886524 67187780 67358155 102198580 134716310 148187941 269432620 296375882 592751764 740939705 1481879410 2963758820 4892060209 9784120418 19568240836 24460301045 48920602090 53812662299 97841204180 107625324598 141869746061 215250649196 269063311495 283739492122 538126622990 567478984244 709348730305 1076253245980 1418697460610 1560567206671 2837394921220 3121134413342 6242268826684 7802836033355 15605672066710 31211344133420