Search a number
-
+
1221101132100 = 2235231373548681
BaseRepresentation
bin10001110001001111010…
…011001001100101000100
311022201212122012200111120
4101301033103021211010
5130001303342211400
62332544403033540
7154136011236423
oct21611723114504
94281778180446
101221101132100
11430958833a43
121787a836b8b0
138b1c314b6a5
144315cb652ba
1521b6c462ca0
hex11c4f4c9944

1221101132100 has 144 divisors (see below), whose sum is σ = 3745591266816. Its totient is φ = 306605952000.

The previous prime is 1221101132089. The next prime is 1221101132101. The reversal of 1221101132100 is 12311011221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1221101132100.

It is not an unprimeable number, because it can be changed into a prime (1221101132101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1430241 + ... + 2118440.

It is an arithmetic number, because the mean of its divisors is an integer number (26011050464).

Almost surely, 21221101132100 is an apocalyptic number.

1221101132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221101132100 is an abundant number, since it is smaller than the sum of its proper divisors (2524490134716).

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

1221101132100 is a wasteful number, since it uses less digits than its factorization.

1221101132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3548766 (or 3548759 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1221101132100 its reverse (12311011221), we get a palindrome (1233412143321).

The spelling of 1221101132100 in words is "one trillion, two hundred twenty-one billion, one hundred one million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 37 50 60 62 74 75 93 100 111 124 148 150 155 185 186 222 300 310 370 372 444 465 555 620 740 775 925 930 1110 1147 1550 1850 1860 2220 2294 2325 2775 3100 3441 3700 4588 4650 5550 5735 6882 9300 11100 11470 13764 17205 22940 28675 34410 57350 68820 86025 114700 172050 344100 3548681 7097362 10646043 14194724 17743405 21292086 35486810 42584172 53230215 70973620 88717025 106460430 110009111 131301197 177434050 212920860 220018222 262602394 266151075 330027333 354868100 393903591 440036444 525204788 532302150 550045555 656505985 660054666 787807182 1064604300 1100091110 1313011970 1320109332 1575614364 1650136665 1969517955 2200182220 2626023940 2750227775 3282529925 3300273330 3939035910 4070337107 5500455550 6565059850 6600546660 7878071820 8140674214 8250683325 9847589775 11000911100 12211011321 13130119700 16281348428 16501366650 19695179550 20351685535 24422022642 33002733300 39390359100 40703371070 48844045284 61055056605 81406742140 101758427675 122110113210 203516855350 244220226420 305275283025 407033710700 610550566050 1221101132100