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102210000210 = 23255321427673
BaseRepresentation
bin101111100110000110…
…0001101010101010010
3100202211012010222121100
41133030030031111102
53133311230001320
6114542111005230
710245600444543
oct1371414152522
9322735128540
10102210000210
113a38a975a5a
1217985b09816
13983b632a86
144d387824ca
1529d327e790
hex17cc30d552

102210000210 has 48 divisors (see below), whose sum is σ = 270760088664. Its totient is φ = 26741734656.

The previous prime is 102210000199. The next prime is 102210000227. The reversal of 102210000210 is 12000012201.

102210000210 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 4 ways, for example, as 68722098201 + 33487902009 = 262149^2 + 182997^2 .

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 = 102210000192 and 102210000201.

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, 10709067 + ... + 10718606.

Almost surely, 2102210000210 is an apocalyptic number.

102210000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102210000210 is an abundant number, since it is smaller than the sum of its proper divisors (168550088454).

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

102210000210 is a wasteful number, since it uses less digits than its factorization.

102210000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21427739 (or 21427736 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102210000210 its reverse (12000012201), we get a palindrome (114210012411).

The spelling of 102210000210 in words is "one hundred two billion, two hundred ten million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 4770 21427673 42855346 64283019 107138365 128566038 192849057 214276730 321415095 385698114 642830190 964245285 1135666669 1928490570 2271333338 3407000007 5678333345 6814000014 10221000021 11356666690 17035000035 20442000042 34070000070 51105000105 102210000210