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20031110000 = 245411182101
BaseRepresentation
bin10010101001111100…
…100111101101110000
31220201000001211010222
4102221330213231300
5312010431010000
613111400112212
71306250424416
oct225174475560
956630054128
1020031110000
11854a048470
123a70465668
131b72c7ac15
14d804a32b6
157c3863a85
hex4a9f27b70

20031110000 has 100 divisors (see below), whose sum is σ = 52906458264. Its totient is φ = 7284000000.

The previous prime is 20031109961. The next prime is 20031110023. The reversal of 20031110000 is 1113002.

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

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 20031110000.

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, 18950 + ... + 201050.

Almost surely, 220031110000 is an apocalyptic number.

20031110000 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 20031110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26453229132).

20031110000 is an abundant number, since it is smaller than the sum of its proper divisors (32875348264).

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

20031110000 is a wasteful number, since it uses less digits than its factorization.

20031110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182140 (or 182119 counting only the distinct ones).

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

Adding to 20031110000 its reverse (1113002), we get a palindrome (20032223002).

It can be divided in two parts, 20031 and 110000, that added together give a palindrome (130031).

The spelling of 20031110000 in words is "twenty billion, thirty-one million, one 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 182101 364202 728404 910505 1456808 1821010 2003111 2913616 3642020 4006222 4552525 7284040 8012444 9105050 10015555 14568080 16024888 18210100 20031110 22762625 32049776 36420200 40062220 45525250 50077775 72840400 80124440 91050500 100155550 113813125 160248880 182101000 200311100 227626250 250388875 364202000 400622200 455252500 500777750 801244400 910505000 1001555500 1251944375 1821010000 2003111000 2503888750 4006222000 5007777500 10015555000 20031110000