Search a number
-
+
22101211222000 = 245315770386023
BaseRepresentation
bin1010000011001110101101…
…10110000000111111110000
32220020212002102002011002121
411001213112312000333300
510344101240033101000
6115001053430524024
74440521421512641
oct501472666007760
986225072064077
1022101211222000
117051086614a39
12258b442b06614
13c4419b27ab41
145659c097d6c8
15284d835a3b1a
hex1419d6d80ff0

22101211222000 has 80 divisors (see below), whose sum is σ = 53781116306112. Its totient is φ = 8784175545600.

The previous prime is 22101211221977. The next prime is 22101211222021. The reversal of 22101211222000 is 22211210122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34879012 + ... + 35507011.

Almost surely, 222101211222000 is an apocalyptic number.

22101211222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101211222000 is an abundant number, since it is smaller than the sum of its proper divisors (31679905084112).

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

22101211222000 is a wasteful number, since it uses less digits than its factorization.

22101211222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70386203 (or 70386187 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22101211222000 its reverse (22211210122), we get a palindrome (22123422432122).

The spelling of 22101211222000 in words is "twenty-two trillion, one hundred one billion, two hundred eleven million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 157 200 250 314 400 500 628 785 1000 1256 1570 2000 2512 3140 3925 6280 7850 12560 15700 19625 31400 39250 62800 78500 157000 314000 70386023 140772046 281544092 351930115 563088184 703860230 1126176368 1407720460 1759650575 2815440920 3519301150 5630881840 7038602300 8798252875 11050605611 14077204600 17596505750 22101211222 28154409200 35193011500 44202422444 55253028055 70386023000 88404844888 110506056110 140772046000 176809689776 221012112220 276265140275 442024224440 552530280550 884048448880 1105060561100 1381325701375 2210121122200 2762651402750 4420242244400 5525302805500 11050605611000 22101211222000