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1001022110200 = 235272924655717
BaseRepresentation
bin11101001000100011001…
…00010011100111111000
310112200210221201000002101
432210101210103213320
5112400043130011300
62043510241513144
7132215155355110
oct16442144234770
93480727630071
101001022110200
11356592980472
121420083427b4
137351bc77788
14366420ac040
151b08b363b6a
hexe9119139f8

1001022110200 has 96 divisors (see below), whose sum is σ = 2751578128800. Its totient is φ = 331372823040.

The previous prime is 1001022110191. The next prime is 1001022110219. The reversal of 1001022110200 is 20112201001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 12287259 + ... + 12368458.

It is an arithmetic number, because the mean of its divisors is an integer number (28662272175).

Almost surely, 21001022110200 is an apocalyptic number.

1001022110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001022110200 is an abundant number, since it is smaller than the sum of its proper divisors (1750556018600).

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

1001022110200 is a wasteful number, since it uses less digits than its factorization.

1001022110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24655769 (or 24655760 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001022110200 its reverse (20112201001), we get a palindrome (1021134311201).

The spelling of 1001022110200 in words is "one trillion, one billion, twenty-two million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 29 35 40 50 56 58 70 100 116 140 145 175 200 203 232 280 290 350 406 580 700 725 812 1015 1160 1400 1450 1624 2030 2900 4060 5075 5800 8120 10150 20300 40600 24655717 49311434 98622868 123278585 172590019 197245736 246557170 345180038 493114340 616392925 690360076 715015793 862950095 986228680 1232785850 1380720152 1430031586 1725900190 2465571700 2860063172 3451800380 3575078965 4314750475 4931143400 5005110551 5720126344 6903600760 7150157930 8629500950 10010221102 14300315860 17259001900 17875394825 20020442204 25025552755 28600631720 34518003800 35750789650 40040884408 50051105510 71501579300 100102211020 125127763775 143003158600 200204422040 250255527550 500511055100 1001022110200