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210011120020 = 225131017997377
BaseRepresentation
bin1100001110010110100…
…0110110000110010100
3202002002000222021102101
43003211220312012110
511420100321320040
6240251111051444
721113162031562
oct3034550660624
9662060867371
10210011120020
1181079890909
1234850370b84
1316a5b400c30
14a2438daa32
1556e22cc09a
hex30e5a36194

210011120020 has 48 divisors (see below), whose sum is σ = 479650742928. Its totient is φ = 76774809600.

The previous prime is 210011119991. The next prime is 210011120057. The reversal of 210011120020 is 20021110012.

It can be written as a sum of positive squares in 8 ways, for example, as 11364412816 + 198646707204 = 106604^2 + 445698^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 210011119979 and 210011120006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3972429 + ... + 4024948.

It is an arithmetic number, because the mean of its divisors is an integer number (9992723811).

Almost surely, 2210011120020 is an apocalyptic number.

210011120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210011120020 is an abundant number, since it is smaller than the sum of its proper divisors (269639622908).

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

210011120020 is a wasteful number, since it uses less digits than its factorization.

210011120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7997500 (or 7997498 counting only the distinct ones).

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

Adding to 210011120020 its reverse (20021110012), we get a palindrome (230032230032).

The spelling of 210011120020 in words is "two hundred ten billion, eleven million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 1010 1313 2020 2626 5252 6565 13130 26260 7997377 15994754 31989508 39986885 79973770 103965901 159947540 207931802 415863604 519829505 807735077 1039659010 1615470154 2079318020 3230940308 4038675385 8077350770 10500556001 16154701540 21001112002 42002224004 52502780005 105005560010 210011120020