Search a number
-
+
1100021222010 = 2351936750910331
BaseRepresentation
bin10000000000011110010…
…111111100101001111010
310220011100100222221212010
4100000132113330221322
5121010320413101020
62201202012230350
7142321360053204
oct20003627745172
93804310887763
101100021222010
11394575336447
12159236a6b3b6
137c9682c8989
143b35422d774
151d932793de0
hex1001e5fca7a

1100021222010 has 128 divisors (see below), whose sum is σ = 2792318054400. Its totient is φ = 276571618560.

The previous prime is 1100021221939. The next prime is 1100021222017. The reversal of 1100021222010 is 102221200011.

It is not an unprimeable number, because it can be changed into a prime (1100021222017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106472545 + ... + 106482875.

It is an arithmetic number, because the mean of its divisors is an integer number (21814984800).

Almost surely, 21100021222010 is an apocalyptic number.

1100021222010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100021222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396159027200).

1100021222010 is an abundant number, since it is smaller than the sum of its proper divisors (1692296832390).

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

1100021222010 is a wasteful number, since it uses less digits than its factorization.

1100021222010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11236.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1100021222010 its reverse (102221200011), we get a palindrome (1202242422021).

The spelling of 1100021222010 in words is "one trillion, one hundred billion, twenty-one million, two hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 367 509 570 734 1018 1101 1527 1835 2202 2545 3054 3670 5090 5505 6973 7635 9671 10331 11010 13946 15270 19342 20662 20919 29013 30993 34865 41838 48355 51655 58026 61986 69730 96710 103310 104595 145065 154965 186803 196289 209190 290130 309930 373606 392578 560409 588867 934015 981445 1120818 1177734 1868030 1962890 2802045 2944335 3549257 3791477 5258479 5604090 5888670 7098514 7582954 10516958 10647771 11374431 15775437 17746285 18957385 21295542 22748862 26292395 31550874 35492570 37914770 52584790 53238855 56872155 72038063 78877185 99911101 106477710 113744310 144076126 157754370 199822202 216114189 299733303 360190315 432228378 499555505 599466606 720380630 999111010 1080570945 1498666515 1929861793 2161141890 2997333030 3859723586 5789585379 9649308965 11579170758 19298617930 28947926895 36667374067 57895853790 73334748134 110002122201 183336870335 220004244402 366673740670 550010611005 1100021222010