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11231110000 = 245411102101
BaseRepresentation
bin10100111010110110…
…10010001101110000
31001222201022111120001
422131123102031300
5141000131010000
65054241355344
7545213600635
oct123533221560
931881274501
1011231110000
11484373a1a0
122215338b54
13109ca84c26
1478787018c
1545aee146a
hex29d6d2370

11231110000 has 100 divisors (see below), whose sum is σ = 29663898264. Its totient is φ = 4084000000.

The previous prime is 11231109961. The next prime is 11231110031. The reversal of 11231110000 is 1113211.

11231110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×112311100002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58950 + ... + 161050.

Almost surely, 211231110000 is an apocalyptic number.

11231110000 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 11231110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14831949132).

11231110000 is an abundant number, since it is smaller than the sum of its proper divisors (18432788264).

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

11231110000 is a wasteful number, since it uses less digits than its factorization.

11231110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102140 (or 102119 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 11231110000 its reverse (1113211), we get a palindrome (11232223211).

The spelling of 11231110000 in words is "eleven billion, two hundred 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 102101 110000 204202 408404 510505 816808 1021010 1123111 1633616 2042020 2246222 2552525 4084040 4492444 5105050 5615555 8168080 8984888 10210100 11231110 12762625 17969776 20420200 22462220 25525250 28077775 40840400 44924440 51050500 56155550 63813125 89848880 102101000 112311100 127626250 140388875 204202000 224622200 255252500 280777750 449244400 510505000 561555500 701944375 1021010000 1123111000 1403888750 2246222000 2807777500 5615555000 11231110000