Search a number
-
+
1000221110100 = 2233523111950073
BaseRepresentation
bin11101000111000011101…
…00101110111101010100
310112121202010110222112000
432203201310232331110
5112341423101010400
62043254545355300
7132156261104622
oct16434164567524
93477663428460
101000221110100
11356211817213
12141a24038b30
1373422034614
14365a7962512
151b040d90600
hexe8e1d2ef54

1000221110100 has 144 divisors (see below), whose sum is σ = 3319252554240. Its totient is φ = 258121555200.

The previous prime is 1000221110087. The next prime is 1000221110123. The reversal of 1000221110100 is 10111220001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5891337 + ... + 6058736.

It is an arithmetic number, because the mean of its divisors is an integer number (23050364960).

Almost surely, 21000221110100 is an apocalyptic number.

1000221110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000221110100 is an abundant number, since it is smaller than the sum of its proper divisors (2319031444140).

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

1000221110100 is a wasteful number, since it uses less digits than its factorization.

1000221110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11950127 (or 11950114 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000221110100 its reverse (10111220001), we get a palindrome (1010332330101).

The spelling of 1000221110100 in words is "one trillion, two hundred twenty-one million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 31 36 45 50 54 60 62 75 90 93 100 108 124 135 150 155 180 186 225 270 279 300 310 372 450 465 540 558 620 675 775 837 900 930 1116 1350 1395 1550 1674 1860 2325 2700 2790 3100 3348 4185 4650 5580 6975 8370 9300 13950 16740 20925 27900 41850 83700 11950073 23900146 35850219 47800292 59750365 71700438 107550657 119500730 143400876 179251095 215101314 239001460 298751825 322651971 358502190 370452263 430202628 537753285 597503650 645303942 717004380 740904526 896255475 1075506570 1111356789 1195007300 1290607884 1481809052 1613259855 1792510950 1852261315 2151013140 2222713578 2688766425 3226519710 3334070367 3585021900 3704522630 4445427156 5377532850 5556783945 6453039420 6668140734 7409045260 8066299275 9261306575 10002211101 10755065700 11113567890 13336281468 16132598550 16670351835 18522613150 20004422202 22227135780 27783919725 32265197100 33340703670 37045226300 40008844404 50011055505 55567839450 66681407340 83351759175 100022111010 111135678900 166703518350 200044222020 250055277525 333407036700 500110555050 1000221110100