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211220102220996 = 2231129539310231349
BaseRepresentation
bin110000000001101010000011…
…001010011000110011000100
31000200212110000002110001110210
4300001222003022120303010
5210141112232132032441
62025121101515315420
762330102015514351
oct6001520312306304
91020773002401423
10211220102220996
1161334a40230640
121b833a54a4bb70
1390b1c7c61a40b
143a23170d71628
1519644bd8cb616
hexc01a83298cc4

211220102220996 has 96 divisors (see below), whose sum is σ = 556294051152000. Its totient is φ = 61787519825920.

The previous prime is 211220102220989. The next prime is 211220102220997. The reversal of 211220102220996 is 699022201022112.

It is a super-2 number, since 2×2112201022209962 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211220102220997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15528730 + ... + 25760078.

It is an arithmetic number, because the mean of its divisors is an integer number (5794729699500).

Almost surely, 2211220102220996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211220102220996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278147025576000).

211220102220996 is an abundant number, since it is smaller than the sum of its proper divisors (345073948931004).

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

211220102220996 is a wasteful number, since it uses less digits than its factorization.

211220102220996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10236789 (or 10236787 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 211220102220996 in words is "two hundred eleven trillion, two hundred twenty billion, one hundred two million, two hundred twenty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3828 5393 10786 16179 21572 32358 59323 64716 118646 156397 177969 237292 312794 355938 469191 625588 711876 938382 1720367 1876764 3440734 5161101 6881468 10231349 10322202 20462698 20644404 30694047 40925396 61388094 112544839 122776188 225089678 296709121 337634517 450179356 593418242 675269034 890127363 1186836484 1350538068 1780254726 3263800331 3560509452 6527600662 9791400993 13055201324 19582801986 39165603972 55177665157 110355330314 165532995471 220710660628 331065990942 606954316727 662131981884 1213908633454 1600152289553 1820862950181 2427817266908 3200304579106 3641725900362 4800456868659 6400609158212 7283451800724 9600913737318 17601675185083 19201827474636 35203350370166 52805025555249 70406700740332 105610051110498 211220102220996