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210100221000 = 23325323344469
BaseRepresentation
bin1100001110101011110…
…0101111010001001000
3202002022020122001222200
43003222330233101020
511420241124033000
6240304012520200
721115323261315
oct3035274572110
9662266561880
10210100221000
118111510878a
1234876180060
1316a739c98c7
14a251691d0c
1556ea02c500
hex30eaf2f448

210100221000 has 96 divisors (see below), whose sum is σ = 710138777400. Its totient is φ = 56026723200.

The previous prime is 210100220999. The next prime is 210100221017. The reversal of 210100221000 is 122001012.

210100221000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19845483876 + 190254737124 = 140874^2 + 436182^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 11663235 + ... + 11681234.

Almost surely, 2210100221000 is an apocalyptic number.

210100221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210100221000 is an abundant number, since it is smaller than the sum of its proper divisors (500038556400).

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

210100221000 is a wasteful number, since it uses less digits than its factorization.

210100221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23344496 (or 23344479 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 210100221000 its reverse (122001012), we get a palindrome (210222222012).

The spelling of 210100221000 in words is "two hundred ten billion, one hundred million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 23344469 46688938 70033407 93377876 116722345 140066814 186755752 210100221 233444690 280133628 350167035 420200442 466889380 560267256 583611725 700334070 840400884 933778760 1050501105 1167223450 1400668140 1680801768 1750835175 2101002210 2334446900 2801336280 2918058625 3501670350 4202004420 4668893800 5252505525 5836117250 7003340700 8404008840 8754175875 10505011050 11672234500 14006681400 17508351750 21010022100 23344469000 26262527625 35016703500 42020044200 52525055250 70033407000 105050110500 210100221000