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1002102210 = 232511134469
BaseRepresentation
bin111011101110101…
…101110111000010
32120211122001210200
4323232231313002
54023014232320
6243234310030
733555504534
oct7356556702
92524561720
101002102210
1147472a24a
1223b728316
1312c7c4cb5
1497137854
155ce99290
hex3bbaddc2

1002102210 has 24 divisors (see below), whose sum is σ = 2605465980. Its totient is φ = 267227232.

The previous prime is 1002102149. The next prime is 1002102223. The reversal of 1002102210 is 122012001.

It can be written as a sum of positive squares in 2 ways, for example, as 935075241 + 67026969 = 30579^2 + 8187^2 .

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 = 1002102192 and 1002102201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5567145 + ... + 5567324.

Almost surely, 21002102210 is an apocalyptic number.

1002102210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002102210 is an abundant number, since it is smaller than the sum of its proper divisors (1603363770).

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

1002102210 is a wasteful number, since it uses less digits than its factorization.

1002102210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11134482 (or 11134479 counting only the distinct ones).

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

The square root of 1002102210 is about 31655.9980098559. The cubic root of 1002102210 is about 1000.7002462075.

Adding to 1002102210 its reverse (122012001), we get a palindrome (1124114211).

The spelling of 1002102210 in words is "one billion, two million, one hundred two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 11134469 22268938 33403407 55672345 66806814 100210221 111344690 167017035 200420442 334034070 501051105 1002102210