Search a number
-
+
1130113020320 = 25531274982883
BaseRepresentation
bin10000011100011111111…
…111000011000110100000
311000001000112000200211122
4100130133333003012200
5122003432413122240
62223100004031412
7144435153114464
oct20343777030640
94001015020748
101130113020320
113a6307379949
12163034692568
13827526c23ab
143c9aa9324a4
151e5e44a24b5
hex1071ffc31a0

1130113020320 has 96 divisors (see below), whose sum is σ = 2757053376000. Its totient is φ = 437298693120.

The previous prime is 1130113020301. The next prime is 1130113020329. The reversal of 1130113020320 is 230203110311.

It is not an unprimeable number, because it can be changed into a prime (1130113020329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13593599 + ... + 13676481.

It is an arithmetic number, because the mean of its divisors is an integer number (28719306000).

Almost surely, 21130113020320 is an apocalyptic number.

1130113020320 is a gapful number since it is divisible by the number (10) 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 1130113020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378526688000).

1130113020320 is an abundant number, since it is smaller than the sum of its proper divisors (1626940355680).

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

1130113020320 is a wasteful number, since it uses less digits than its factorization.

1130113020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85678 (or 85670 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1130113020320 its reverse (230203110311), we get a palindrome (1360316130631).

The spelling of 1130113020320 in words is "one trillion, one hundred thirty billion, one hundred thirteen million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 2749 4960 5498 10996 13745 21992 27490 43984 54980 82883 85219 87968 109960 165766 170438 219920 331532 340876 414415 426095 439840 663064 681752 828830 852190 1326128 1363504 1657660 1704380 2569373 2652256 2727008 3315320 3408760 5138746 6630640 6817520 10277492 12846865 13261280 13635040 20554984 25693730 41109968 51387460 82219936 102774920 205549840 227845367 411099680 455690734 911381468 1139226835 1822762936 2278453670 3645525872 4556907340 7063206377 7291051744 9113814680 14126412754 18227629360 28252825508 35316031885 36455258720 56505651016 70632063770 113011302032 141264127540 226022604064 282528255080 565056510160 1130113020320