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102111000210 = 232511310040413
BaseRepresentation
bin101111100011001001…
…0100011011010010010
3100202120021212021010200
41133012102203122102
53133110404001320
6114524213040030
710243256116032
oct1370622433222
9322507767120
10102111000210
113a339aa787a
1217958926016
139823c7c4ab
144d295718c2
1529c9726290
hex17c64a3692

102111000210 has 48 divisors (see below), whose sum is σ = 267838083864. Its totient is φ = 26988627456.

The previous prime is 102111000209. The next prime is 102111000227. The reversal of 102111000210 is 12000111201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46942855569 + 55168144641 = 216663^2 + 234879^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102111000192 and 102111000201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5010037 + ... + 5030376.

Almost surely, 2102111000210 is an apocalyptic number.

102111000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102111000210 is an abundant number, since it is smaller than the sum of its proper divisors (165727083654).

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

102111000210 is a wasteful number, since it uses less digits than its factorization.

102111000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10040539 (or 10040536 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102111000210 its reverse (12000111201), we get a palindrome (114111111411).

The spelling of 102111000210 in words is "one hundred two billion, one hundred eleven million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 565 678 1017 1130 1695 2034 3390 5085 10170 10040413 20080826 30121239 50202065 60242478 90363717 100404130 150606195 180727434 301212390 451818585 903637170 1134566669 2269133338 3403700007 5672833345 6807400014 10211100021 11345666690 17018500035 20422200042 34037000070 51055500105 102111000210