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20130311000 = 2353170911779
BaseRepresentation
bin10010101111110111…
…000010101101011000
31220221220201202100002
4102233313002231120
5312211324423000
613125302232132
71311563551232
oct225767025530
956856652302
1020130311000
1185a0043668
123a99725648
131b8a6a1b37
14d8d727252
157cc40b8d5
hex4afdc2b58

20130311000 has 64 divisors (see below), whose sum is σ = 47136492000. Its totient is φ = 8046729600.

The previous prime is 20130310987. The next prime is 20130311011. The reversal of 20130311000 is 11303102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1703111 + ... + 1714889.

Almost surely, 220130311000 is an apocalyptic number.

20130311000 is a gapful number since it is divisible by the number (20) 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 20130311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23568246000).

20130311000 is an abundant number, since it is smaller than the sum of its proper divisors (27006181000).

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

20130311000 is a wasteful number, since it uses less digits than its factorization.

20130311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13509 (or 13495 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 20130311000 its reverse (11303102), we get a palindrome (20141614102).

The spelling of 20130311000 in words is "twenty billion, one hundred thirty million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1709 3418 6836 8545 11779 13672 17090 23558 34180 42725 47116 58895 68360 85450 94232 117790 170900 213625 235580 294475 341800 427250 471160 588950 854500 1177900 1472375 1709000 2355800 2944750 5889500 11779000 20130311 40260622 80521244 100651555 161042488 201303110 402606220 503257775 805212440 1006515550 2013031100 2516288875 4026062200 5032577750 10065155500 20130311000