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2211022221012 = 22321131193933209
BaseRepresentation
bin100000001011001011001…
…100011010111011010100
321211101000221101101012100
4200023023030122323110
5242211133142033022
64411421331322100
7315512122534143
oct40131314327324
97741027341170
102211022221012
11782764447850
122b8616a50330
1313066328b1c7
147902a78775a
153c7a8e301ac
hex202cb31aed4

2211022221012 has 144 divisors (see below), whose sum is σ = 6326357506560. Its totient is φ = 645033369600.

The previous prime is 2211022220977. The next prime is 2211022221119. The reversal of 2211022221012 is 2101222201122.

It is a happy number.

2211022221012 is a `hidden beast` number, since 221 + 1 + 0 + 222 + 210 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 1902664 + ... + 2835872.

It is an arithmetic number, because the mean of its divisors is an integer number (43933038240).

Almost surely, 22211022221012 is an apocalyptic number.

2211022221012 is a gapful number since it is divisible by the number (22) 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 2211022221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163178753280).

2211022221012 is an abundant number, since it is smaller than the sum of its proper divisors (4115335285548).

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

2211022221012 is a wasteful number, since it uses less digits than its factorization.

2211022221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933454 (or 933449 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2211022221012 its reverse (2101222201122), we get a palindrome (4312244422134).

The spelling of 2211022221012 in words is "two trillion, two hundred eleven billion, twenty-two million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 193 198 279 341 372 386 396 558 579 682 772 1023 1116 1158 1364 1737 2046 2123 2316 3069 3474 4092 4246 5983 6138 6369 6948 8492 11966 12276 12738 17949 19107 23932 25476 35898 38214 53847 65813 71796 76428 107694 131626 197439 215388 263252 394878 592317 789756 933209 1184634 1866418 2369268 2799627 3732836 5599254 8398881 10265299 11198508 16797762 20530598 28929479 30795897 33595524 41061196 57858958 61591794 86788437 92387691 115717916 123183588 173576874 180109337 184775382 260365311 318224269 347153748 360218674 369550764 520730622 540328011 636448538 720437348 954672807 1041461244 1080656022 1272897076 1620984033 1909345614 1981202707 2161312044 2864018421 3241968066 3818691228 3962405414 5583389447 5728036842 5943608121 6483936132 7924810828 11166778894 11456073684 11887216242 16750168341 17830824363 22333557788 23774432484 33500336682 35661648726 50250505023 61417283917 67000673364 71323297452 100501010046 122834567834 184251851751 201002020092 245669135668 368503703502 552755555253 737007407004 1105511110506 2211022221012