Search a number
-
+
22111221011000 = 23531114931346357
BaseRepresentation
bin1010000011100001010110…
…11110010101001000111000
32220021210221000021010012112
411001300223132111020320
510344232240034323000
6115005431003231452
74441324445355152
oct501605336251070
986253830233175
1022111221011000
117055352905630
122591377218588
13c45104cb4b04
1456629012dad2
1528526c247235
hex141c2b795238

22111221011000 has 128 divisors (see below), whose sum is σ = 56481764564160. Its totient is φ = 8035052608000.

The previous prime is 22111221010961. The next prime is 22111221011017. The reversal of 22111221011000 is 11012211122.

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, 15749822 + ... + 17096178.

Almost surely, 222111221011000 is an apocalyptic number.

22111221011000 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 22111221011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28240882282080).

22111221011000 is an abundant number, since it is smaller than the sum of its proper divisors (34370543553160).

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

22111221011000 is a wasteful number, since it uses less digits than its factorization.

22111221011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347882 (or 1347868 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 22111221011000 its reverse (11012211122), we get a palindrome (22122233222122).

The spelling of 22111221011000 in words is "twenty-two trillion, one hundred eleven billion, two hundred twenty-one million, eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 1493 2200 2750 2986 5500 5972 7465 11000 11944 14930 16423 29860 32846 37325 59720 65692 74650 82115 131384 149300 164230 186625 298600 328460 373250 410575 656920 746500 821150 1346357 1493000 1642300 2052875 2692714 3284600 4105750 5385428 6731785 8211500 10770856 13463570 14809927 16423000 26927140 29619854 33658925 53854280 59239708 67317850 74049635 118479416 134635700 148099270 168294625 269271400 296198540 336589250 370248175 592397080 673178500 740496350 1346357000 1480992700 1851240875 2010111001 2961985400 3702481750 4020222002 7404963500 8040444004 10050555005 14809927000 16080888008 20101110010 22111221011 40202220020 44222442022 50252775025 80404440040 88444884044 100505550050 110556105055 176889768088 201011100100 221112210110 251263875125 402022200200 442224420220 502527750250 552780525275 884448840440 1005055500500 1105561050550 2010111001000 2211122101100 2763902626375 4422244202200 5527805252750 11055610505500 22111221011000