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210221100020 = 22517642196293
BaseRepresentation
bin1100001111001000100…
…1110110101111110100
3202002121200002100211102
43003302021312233310
511421013100200040
6240324011425232
721121321603301
oct3036211665764
9662550070742
10210221100020
118117736a9a8
12348aa755218
1316a92a70959
14a26375a0a8
155705958515
hex30f2276bf4

210221100020 has 48 divisors (see below), whose sum is σ = 467510451408. Its totient is φ = 79128913920.

The previous prime is 210221099989. The next prime is 210221100029. The reversal of 210221100020 is 20001122012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 275692816 + 209945407204 = 16604^2 + 458198^2 .

It is a junction number, because it is equal to n+sod(n) for n = 210221099974 and 210221100010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210221100029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2134994 + ... + 2231286.

It is an arithmetic number, because the mean of its divisors is an integer number (9739801071).

Almost surely, 2210221100020 is an apocalyptic number.

210221100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210221100020 is an abundant number, since it is smaller than the sum of its proper divisors (257289351388).

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

210221100020 is a wasteful number, since it uses less digits than its factorization.

210221100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102740 (or 102738 counting only the distinct ones).

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

Adding to 210221100020 its reverse (20001122012), we get a palindrome (230222222032).

The spelling of 210221100020 in words is "two hundred ten billion, two hundred twenty-one million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 6421 12842 25684 32105 64210 96293 109157 128420 192586 218314 385172 436628 481465 545785 962930 1091570 1636981 1925860 2183140 3273962 6547924 8184905 16369810 32739620 618297353 1236594706 2473189412 3091486765 6182973530 10511055001 12365947060 21022110002 42044220004 52555275005 105110550010 210221100020