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20110310000 = 245411182821
BaseRepresentation
bin10010101110101010…
…101111101001110000
31220220112002121010022
4102232222233221300
5312141214410000
613123305423012
71311231546254
oct225652575160
956815077108
1020110310000
11858a822610
123a92a9aa68
131b864bb121
14d8abdc264
157ca7aa585
hex4aeaafa70

20110310000 has 100 divisors (see below), whose sum is σ = 53115641304. Its totient is φ = 7312800000.

The previous prime is 20110309981. The next prime is 20110310029. The reversal of 20110310000 is 1301102.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×201103100002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 20110310000.

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 19 ways as a sum of consecutive naturals, for example, 18590 + ... + 201410.

Almost surely, 220110310000 is an apocalyptic number.

20110310000 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 20110310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26557820652).

20110310000 is an abundant number, since it is smaller than the sum of its proper divisors (33005331304).

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

20110310000 is a wasteful number, since it uses less digits than its factorization.

20110310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182860 (or 182839 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 20110310000 its reverse (1301102), we get a palindrome (20111611102).

The spelling of 20110310000 in words is "twenty billion, one hundred ten million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 182821 365642 731284 914105 1462568 1828210 2011031 2925136 3656420 4022062 4570525 7312840 8044124 9141050 10055155 14625680 16088248 18282100 20110310 22852625 32176496 36564200 40220620 45705250 50275775 73128400 80441240 91410500 100551550 114263125 160882480 182821000 201103100 228526250 251378875 365642000 402206200 457052500 502757750 804412400 914105000 1005515500 1256894375 1828210000 2011031000 2513788750 4022062000 5027577500 10055155000 20110310000