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210022211000 = 2353779379787
BaseRepresentation
bin1100001110011001001…
…1001001110110111000
3202002002210211202101102
43003212103021312320
511420111141223000
6240252144510532
721113355224030
oct3034623116670
9662083752342
10210022211000
1181085076708
123485401b448
1316a607b5244
14a2451868c0
1556e326d3d5
hex30e64c9db8

210022211000 has 128 divisors (see below), whose sum is σ = 568770508800. Its totient is φ = 71095939200.

The previous prime is 210022210987. The next prime is 210022211027. The reversal of 210022211000 is 112220012.

It is a happy number.

210022211000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2100222110002 (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 363107 + ... + 742893.

It is an arithmetic number, because the mean of its divisors is an integer number (4443519600).

Almost surely, 2210022211000 is an apocalyptic number.

210022211000 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 210022211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284385254400).

210022211000 is an abundant number, since it is smaller than the sum of its proper divisors (358748297800).

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

210022211000 is a wasteful number, since it uses less digits than its factorization.

210022211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379894 (or 379880 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 210022211000 its reverse (112220012), we get a palindrome (210134431012).

The spelling of 210022211000 in words is "two hundred ten billion, twenty-two million, two hundred eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 79 100 125 140 158 175 200 250 280 316 350 395 500 553 632 700 790 875 1000 1106 1400 1580 1750 1975 2212 2765 3160 3500 3950 4424 5530 7000 7900 9875 11060 13825 15800 19750 22120 27650 39500 55300 69125 79000 110600 138250 276500 379787 553000 759574 1519148 1898935 2658509 3038296 3797870 5317018 7595740 9494675 10634036 13292545 15191480 18989350 21268072 26585090 30003173 37978700 47473375 53170180 60006346 66462725 75957400 94946750 106340360 120012692 132925450 150015865 189893500 210022211 240025384 265850900 300031730 332313625 379787000 420044422 531701800 600063460 664627250 750079325 840088844 1050111055 1200126920 1329254500 1500158650 1680177688 2100222110 2658509000 3000317300 3750396625 4200444220 5250555275 6000634600 7500793250 8400888440 10501110550 15001586500 21002221100 26252776375 30003173000 42004442200 52505552750 105011105500 210022211000