Search a number
-
+
22102221102000 = 2435313283361809
BaseRepresentation
bin1010000011010000100110…
…00010011001101110110000
32220020221200210100101000120
411001220103002121232300
510344110322100231000
6115001341544050240
74440555433403334
oct501502302315660
986227623311016
1022102221102000
117051554676806
12258b685163980
13c442cc567080
14565a78b3d7c4
15284de20876a0
hex141a13099bb0

22102221102000 has 160 divisors (see below), whose sum is σ = 76738911936960. Its totient is φ = 5440546713600.

The previous prime is 22102221101993. The next prime is 22102221102007. The reversal of 22102221102000 is 20112220122.

It is an interprime number because it is at equal distance from previous prime (22102221101993) and next prime (22102221102007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (22102221102007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141602905 + ... + 141758904.

It is an arithmetic number, because the mean of its divisors is an integer number (479618199606).

Almost surely, 222102221102000 is an apocalyptic number.

22102221102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102221102000 is an abundant number, since it is smaller than the sum of its proper divisors (54636690834960).

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

22102221102000 is a wasteful number, since it uses less digits than its factorization.

22102221102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283361848 (or 283361832 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22102221102000 its reverse (20112220122), we get a palindrome (22122333322122).

The spelling of 22102221102000 in words is "twenty-two trillion, one hundred two billion, two hundred twenty-one million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 125 130 150 156 195 200 208 240 250 260 300 312 325 375 390 400 500 520 600 624 650 750 780 975 1000 1040 1200 1300 1500 1560 1625 1950 2000 2600 3000 3120 3250 3900 4875 5200 6000 6500 7800 9750 13000 15600 19500 26000 39000 78000 283361809 566723618 850085427 1133447236 1416809045 1700170854 2266894472 2833618090 3400341708 3683703517 4250427135 4533788944 5667236180 6800683416 7084045225 7367407034 8500854270 11051110551 11334472360 13601366832 14168090450 14734814068 17001708540 18418517585 21252135675 22102221102 22668944720 28336180900 29469628136 34003417080 35420226125 36837035170 42504271350 44204442204 55255552755 56672361800 58939256272 68006834160 70840452250 73674070340 85008542700 88408884408 92092587925 106260678375 110511105510 113344723600 141680904500 147348140680 170017085400 176817768816 184185175850 212521356750 221022211020 276277763775 283361809000 294696281360 340034170800 368370351700 425042713500 442044422040 460462939625 552555527550 566723618000 736740703400 850085427000 884088844080 920925879250 1105111055100 1381388818875 1473481406800 1700170854000 1841851758500 2210222110200 2762777637750 3683703517000 4420444220400 5525555275500 7367407034000 11051110551000 22102221102000