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22112000111000 = 2353148318238179
BaseRepresentation
bin1010000011100010110011…
…11010010111000110011000
32220021212221022021111111002
411001301121322113012120
510344240334012023000
6115010040154124132
74441352655533552
oct501613172270630
986255838244432
1022112000111000
117055712670a28
122591554120648
13c451ca52aa27
145663257b84d2
152852b58418d5
hex141c59e97198

22112000111000 has 128 divisors (see below), whose sum is σ = 51811706419200. Its totient is φ = 8832907324800.

The previous prime is 22112000110913. The next prime is 22112000111017. The reversal of 22112000111000 is 11100021122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2703504911 + ... + 2703513089.

It is an arithmetic number, because the mean of its divisors is an integer number (404778956400).

Almost surely, 222112000111000 is an apocalyptic number.

22112000111000 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 22112000111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25905853209600).

22112000111000 is an abundant number, since it is smaller than the sum of its proper divisors (29699706308200).

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

22112000111000 is a wasteful number, since it uses less digits than its factorization.

22112000111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11506 (or 11492 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 22112000111000 its reverse (11100021122), we get a palindrome (22123100132122).

The spelling of 22112000111000 in words is "twenty-two trillion, one hundred twelve billion, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1483 1823 2966 3646 5932 7292 7415 8179 9115 11864 14584 14830 16358 18230 29660 32716 36460 37075 40895 45575 59320 65432 72920 74150 81790 91150 148300 163580 182300 185375 204475 227875 296600 327160 364600 370750 408950 455750 741500 817900 911500 1022375 1483000 1635800 1823000 2044750 2703509 4089500 5407018 8179000 10814036 12129457 13517545 14910317 21628072 24258914 27035090 29820634 48517828 54070180 59641268 60647285 67587725 74551585 97035656 108140360 119282536 121294570 135175450 149103170 242589140 270350900 298206340 303236425 337938625 372757925 485178280 540701800 596412680 606472850 675877250 745515850 1212945700 1351754500 1491031700 1516182125 1863789625 2425891400 2703509000 2982063400 3032364250 3727579250 6064728500 7455158500 12129457000 14910317000 22112000111 44224000222 88448000444 110560000555 176896000888 221120001110 442240002220 552800002775 884480004440 1105600005550 2211200011100 2764000013875 4422400022200 5528000027750 11056000055500 22112000111000