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210212010100 = 22523479916113
BaseRepresentation
bin1100001111000110011…
…1001011100001110100
3202002121000222112210201
43003301213023201310
511421003233310400
6240323044530244
721121151414131
oct3036147134164
9662530875721
10210212010100
1181172221574
12348a76b0984
1316a90c0a3c1
14a262471588
155704c6006a
hex30f19cb874

210212010100 has 72 divisors (see below), whose sum is σ = 458011185408. Its totient is φ = 83744179200.

The previous prime is 210212010097. The next prime is 210212010149. The reversal of 210212010100 is 1010212012.

210212010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 34384644 + ... + 34390756.

It is an arithmetic number, because the mean of its divisors is an integer number (6361266464).

Almost surely, 2210212010100 is an apocalyptic number.

210212010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210212010100 is an abundant number, since it is smaller than the sum of its proper divisors (247799175308).

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

210212010100 is a wasteful number, since it uses less digits than its factorization.

210212010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7465 (or 7458 counting only the distinct ones).

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

Adding to 210212010100 its reverse (1010212012), we get a palindrome (211222222112).

The spelling of 210212010100 in words is "two hundred ten billion, two hundred twelve million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 347 694 991 1388 1735 1982 3470 3964 4955 6113 6940 8675 9910 12226 17350 19820 24452 24775 30565 34700 49550 61130 99100 122260 152825 305650 343877 611300 687754 1375508 1719385 2121211 3438770 4242422 6057983 6877540 8484844 8596925 10606055 12115966 17193850 21212110 24231932 30289915 34387700 42424220 53030275 60579830 106060550 121159660 151449575 212121100 302899150 605798300 2102120101 4204240202 8408480404 10510600505 21021201010 42042402020 52553002525 105106005050 210212010100