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210100112020 = 225137449170777
BaseRepresentation
bin1100001110101011110…
…0010100101010010100
3202002022020102112111101
43003222330110222110
511420241112041040
6240304010315444
721115322325511
oct3035274245224
9662266375441
10210100112020
1181115043917
1234876128b84
1316a7398c116
14a251664308
1556ea00a09a
hex30eaf14a94

210100112020 has 48 divisors (see below), whose sum is σ = 445423179600. Its totient is φ = 83240321024.

The previous prime is 210100112011. The next prime is 210100112041. The reversal of 210100112020 is 20211001012.

210100112020 is digitally balanced in base 3, 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 8 ways, for example, as 5711127184 + 204388984836 = 75572^2 + 452094^2 .

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 = 210100111988 and 210100112006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1144872 + ... + 1315648.

It is an arithmetic number, because the mean of its divisors is an integer number (9279649575).

Almost surely, 2210100112020 is an apocalyptic number.

210100112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210100112020 is an abundant number, since it is smaller than the sum of its proper divisors (235323067580).

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

210100112020 is a wasteful number, since it uses less digits than its factorization.

210100112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171372 (or 171370 counting only the distinct ones).

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

Adding to 210100112020 its reverse (20211001012), we get a palindrome (230311113032).

The spelling of 210100112020 in words is "two hundred ten billion, one hundred million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 137 274 449 548 685 898 1370 1796 2245 2740 4490 8980 61513 123026 170777 246052 307565 341554 615130 683108 853885 1230260 1707770 3415540 23396449 46792898 76678873 93585796 116982245 153357746 233964490 306715492 383394365 467928980 766788730 1533577460 10505005601 21010011202 42020022404 52525028005 105050056010 210100112020