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1021002122200 = 235219436248483
BaseRepresentation
bin11101101101110000111…
…10000000001111011000
310121121101101121202221211
432312320132000033120
5113212003020402300
62101013014512504
7133523245563004
oct16667036001730
93547341552854
101021002122200
11364006098185
12145a63665734
1375384474598
14375b986d704
151b85a4824ba
hexedb87803d8

1021002122200 has 96 divisors (see below), whose sum is σ = 2556879652800. Its totient is φ = 377908191360.

The previous prime is 1021002122177. The next prime is 1021002122201. The reversal of 1021002122200 is 22212001201.

It is a happy number.

1021002122200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021002122201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2960842 + ... + 3287641.

It is an arithmetic number, because the mean of its divisors is an integer number (26634163050).

Almost surely, 21021002122200 is an apocalyptic number.

1021002122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021002122200 is an abundant number, since it is smaller than the sum of its proper divisors (1535877530600).

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

1021002122200 is a wasteful number, since it uses less digits than its factorization.

1021002122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6248561 (or 6248552 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1021002122200 its reverse (22212001201), we get a palindrome (1043214123401).

The spelling of 1021002122200 in words is "one trillion, twenty-one billion, two million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 43 50 76 86 95 100 152 172 190 200 215 344 380 430 475 760 817 860 950 1075 1634 1720 1900 2150 3268 3800 4085 4300 6536 8170 8600 16340 20425 32680 40850 81700 163400 6248483 12496966 24993932 31242415 49987864 62484830 118721177 124969660 156212075 237442354 249939320 268684769 312424150 474884708 537369538 593605885 624848300 949769416 1074739076 1187211770 1249696600 1343423845 2149478152 2374423540 2686847690 2968029425 4748847080 5105010611 5373695380 5936058850 6717119225 10210021222 10747390760 11872117700 13434238450 20420042444 23744235400 25525053055 26868476900 40840084888 51050106110 53736953800 102100212220 127625265275 204200424440 255250530550 510501061100 1021002122200