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1222201101100 = 225275954754101
BaseRepresentation
bin10001110010010000110…
…111001100101100101100
311022211201021222220022011
4101302100313030230230
5130011031440213400
62333245455131004
7154205165643220
oct21622067145454
94284637886264
101222201101100
11431372727a31
12178a54813a64
138b339cbb215
1443224c96780
1521bd3cde8ba
hex11c90dccb2c

1222201101100 has 144 divisors (see below), whose sum is σ = 3088124847360. Its totient is φ = 411177312000.

The previous prime is 1222201101083. The next prime is 1222201101113. The reversal of 1222201101100 is 11011022221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22564050 + ... + 22618150.

It is an arithmetic number, because the mean of its divisors is an integer number (21445311440).

Almost surely, 21222201101100 is an apocalyptic number.

1222201101100 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 1222201101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544062423680).

1222201101100 is an abundant number, since it is smaller than the sum of its proper divisors (1865923746260).

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

1222201101100 is a wasteful number, since it uses less digits than its factorization.

1222201101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54728 (or 54721 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1222201101100 its reverse (11011022221), we get a palindrome (1233212123321).

The spelling of 1222201101100 in words is "one trillion, two hundred twenty-two billion, two hundred one million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 59 70 100 118 140 175 236 295 350 413 547 590 700 826 1094 1180 1475 1652 2065 2188 2735 2950 3829 4130 5470 5900 7658 8260 10325 10940 13675 15316 19145 20650 27350 32273 38290 41300 54101 54700 64546 76580 95725 108202 129092 161365 191450 216404 225911 270505 322730 378707 382900 451822 541010 645460 757414 806825 903644 1082020 1129555 1352525 1514828 1613650 1893535 2259110 2705050 3191959 3227300 3787070 4518220 5410100 5647775 6383918 7574140 9467675 11295550 12767836 15959795 18935350 22343713 22591100 29593247 31919590 37870700 44687426 59186494 63839180 79798975 89374852 111718565 118372988 147966235 159597950 207152729 223437130 295932470 319195900 414305458 446874260 558592825 591864940 739831175 828610916 1035763645 1117185650 1479662350 1746001573 2071527290 2234371300 2959324700 3492003146 4143054580 5178818225 6984006292 8730007865 10357636450 12222011011 17460015730 20715272900 24444022022 34920031460 43650039325 48888044044 61110055055 87300078650 122220110110 174600157300 244440220220 305550275275 611100550550 1222201101100