Search a number
-
+
11312341000 = 235319995659
BaseRepresentation
bin10101000100100010…
…01010000000001000
31002012101011110112121
422202101022000020
5141131424403000
65110302421024
7550221212002
oct124221120010
932171143477
1011312341000
114885581254
122238591774
1310b38566cc
14794577372
154631d9b1a
hex2a244a008

11312341000 has 64 divisors (see below), whose sum is σ = 26488800000. Its totient is φ = 4521873600.

The previous prime is 11312340989. The next prime is 11312341003. The reversal of 11312341000 is 14321311.

It is not an unprimeable number, because it can be changed into a prime (11312341003) 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, 1996171 + ... + 2001829.

It is an arithmetic number, because the mean of its divisors is an integer number (413887500).

Almost surely, 211312341000 is an apocalyptic number.

11312341000 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 11312341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13244400000).

11312341000 is an abundant number, since it is smaller than the sum of its proper divisors (15176459000).

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

11312341000 is a wasteful number, since it uses less digits than its factorization.

11312341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7679 (or 7665 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11312341000 its reverse (14321311), we get a palindrome (11326662311).

The spelling of 11312341000 in words is "eleven billion, three hundred twelve million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1999 3998 5659 7996 9995 11318 15992 19990 22636 28295 39980 45272 49975 56590 79960 99950 113180 141475 199900 226360 249875 282950 399800 499750 565900 707375 999500 1131800 1414750 1999000 2829500 5659000 11312341 22624682 45249364 56561705 90498728 113123410 226246820 282808525 452493640 565617050 1131234100 1414042625 2262468200 2828085250 5656170500 11312341000