Search a number
-
+
22111021211000 = 2353283361721601
BaseRepresentation
bin1010000011100000111111…
…00100001001110101111000
32220021210102002022020010112
411001300133210021311320
510344231332412223000
6115005355105003452
74441316501162651
oct501603744116570
986253362266115
1022111021211000
117055260049967
122591320323588
13c450a279a867
145662717a0528
1528525992c235
hex141c1f909d78

22111021211000 has 128 divisors (see below), whose sum is σ = 51939375284160. Its totient is φ = 8810311680000.

The previous prime is 22111021210981. The next prime is 22111021211011. The reversal of 22111021211000 is 11212011122.

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, 1023600200 + ... + 1023621800.

Almost surely, 222111021211000 is an apocalyptic number.

22111021211000 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 22111021211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25969687642080).

22111021211000 is an abundant number, since it is smaller than the sum of its proper divisors (29828354073160).

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

22111021211000 is a wasteful number, since it uses less digits than its factorization.

22111021211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25522 (or 25508 counting only the distinct ones).

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

Adding to 22111021211000 its reverse (11212011122), we get a palindrome (22122233222122).

The spelling of 22111021211000 in words is "twenty-two trillion, one hundred eleven billion, twenty-one million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 283 500 566 1000 1132 1415 2264 2830 3617 5660 7075 7234 11320 14150 14468 18085 21601 28300 28936 35375 36170 43202 56600 70750 72340 86404 90425 108005 141500 144680 172808 180850 216010 283000 361700 432020 452125 540025 723400 864040 904250 1023611 1080050 1808500 2047222 2160100 2700125 3617000 4094444 4320200 5118055 5400250 6113083 8188888 10236110 10800500 12226166 20472220 21601000 24452332 25590275 30565415 40944440 48904664 51180550 61130830 78130817 102361100 122261660 127951375 152827075 156261634 204722200 244523320 255902750 305654150 312523268 390654085 511805500 611308300 625046536 764135375 781308170 1023611000 1222616600 1528270750 1562616340 1953270425 3056541500 3125232680 3906540850 6113083000 7813081700 9766352125 15626163400 19532704250 22111021211 39065408500 44222042422 78130817000 88444084844 110555106055 176888169688 221110212110 442220424220 552775530275 884440848440 1105551060550 2211102121100 2763877651375 4422204242200 5527755302750 11055510605500 22111021211000