Search a number
-
+
22102331023000 = 2353175692284951
BaseRepresentation
bin1010000011010000110011…
…00101101101111010011000
32220020221222110011221021201
411001220121211231322120
510344111033220214000
6115001400512043544
74440561236615614
oct501503145557230
986227873157251
1022102331023000
117051600724008
12258b6b5b335b4
13c44319272497
14565a89594344
15284deba4b96a
hex141a1996de98

22102331023000 has 128 divisors (see below), whose sum is σ = 54858041596800. Its totient is φ = 8306250240000.

The previous prime is 22102331022991. The next prime is 22102331023027. The reversal of 22102331023000 is 32013320122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8530525 + ... + 10815475.

It is an arithmetic number, because the mean of its divisors is an integer number (428578449975).

Almost surely, 222102331023000 is an apocalyptic number.

22102331023000 is a gapful number since it is divisible by the number (20) 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 22102331023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27429020798400).

22102331023000 is an abundant number, since it is smaller than the sum of its proper divisors (32755710573800).

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

22102331023000 is a wasteful number, since it uses less digits than its factorization.

22102331023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285558 (or 2285544 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 22102331023000 its reverse (32013320122), we get a palindrome (22134344343122).

The spelling of 22102331023000 in words is "twenty-two trillion, one hundred two billion, three hundred thirty-one million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 569 680 850 1000 1138 1700 2125 2276 2845 3400 4250 4552 5690 8500 9673 11380 14225 17000 19346 22760 28450 38692 48365 56900 71125 77384 96730 113800 142250 193460 241825 284500 386920 483650 569000 967300 1209125 1934600 2284951 2418250 4569902 4836500 9139804 9673000 11424755 18279608 22849510 38844167 45699020 57123775 77688334 91398040 114247550 155376668 194220835 228495100 285618875 310753336 388441670 456990200 571237750 776883340 971104175 1142475500 1300137119 1553766680 1942208350 2284951000 2600274238 3884416700 4855520875 5200548476 6500685595 7768833400 9711041750 10401096952 13001371190 19422083500 22102331023 26002742380 32503427975 38844167000 44204662046 52005484760 65006855950 88409324092 110511655115 130013711900 162517139875 176818648184 221023310230 260027423800 325034279750 442046620460 552558275575 650068559500 884093240920 1105116551150 1300137119000 2210233102300 2762791377875 4420466204600 5525582755750 11051165511500 22102331023000