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21222210112002 = 2331779292631341
BaseRepresentation
bin1001101001101001011100…
…10010111000101000000010
32210010211020022102012121000
410310310232102320220002
510240201041242041002
6113045203154312430
74320153102405024
oct464645622705002
983124208365530
1021222210112002
11684231a389a99
12246900b288716
13bac327108543
145352363bc014
1526c08985561c
hex134d2e4b8a02

21222210112002 has 64 divisors (see below), whose sum is σ = 50566695897600. Its totient is φ = 6573670421760.

The previous prime is 21222210111941. The next prime is 21222210112013. The reversal of 21222210112002 is 20021101222212.

It is a happy number.

21222210112002 is a `hidden beast` number, since 21 + 222 + 210 + 11 + 200 + 2 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 146243149 + ... + 146388192.

It is an arithmetic number, because the mean of its divisors is an integer number (790104623400).

Almost surely, 221222210112002 is an apocalyptic number.

21222210112002 is an abundant number, since it is smaller than the sum of its proper divisors (29344485785598).

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

21222210112002 is a wasteful number, since it uses less digits than its factorization.

21222210112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292631448 (or 292631442 counting only the distinct ones).

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

Adding to 21222210112002 its reverse (20021101222212), we get a palindrome (41243311334214).

The spelling of 21222210112002 in words is "twenty-one trillion, two hundred twenty-two billion, two hundred ten million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 79 102 153 158 237 306 459 474 711 918 1343 1422 2133 2686 4029 4266 8058 12087 24174 36261 72522 292631341 585262682 877894023 1755788046 2633682069 4974732797 5267364138 7901046207 9949465594 14924198391 15802092414 23117875939 29848396782 44772595173 46235751878 69353627817 89545190346 134317785519 138707255634 208060883451 268635571038 393003890963 416121766902 624182650353 786007781926 1179011672889 1248365300706 2358023345778 3537035018667 7074070037334 10611105056001 21222210112002