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1000102020210 = 232537300330937
BaseRepresentation
bin11101000110110101011…
…10011100010001110010
310112121102211101120220100
432203122232130101302
5112341202104121320
62043235053053230
7132153313624026
oct16433256342162
93477384346810
101000102020210
11356160577217
121419b0187216
1373403468a27
1436595c02386
151b0356b9790
hexe8dab9c472

1000102020210 has 48 divisors (see below), whose sum is σ = 2670542700696. Its totient is φ = 259485928704.

The previous prime is 1000102020199. The next prime is 1000102020223. The reversal of 1000102020210 is 120202010001.

It can be written as a sum of positive squares in 4 ways, for example, as 886917548169 + 113184472041 = 941763^2 + 336429^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1000102020192 and 1000102020201.

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, 150162139 + ... + 150168798.

Almost surely, 21000102020210 is an apocalyptic number.

1000102020210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000102020210 is an abundant number, since it is smaller than the sum of its proper divisors (1670440680486).

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

1000102020210 is a wasteful number, since it uses less digits than its factorization.

1000102020210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300330987 (or 300330984 counting only the distinct ones).

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

Adding to 1000102020210 its reverse (120202010001), we get a palindrome (1120304030211).

The spelling of 1000102020210 in words is "one trillion, one hundred two million, twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 300330937 600661874 900992811 1501654685 1801985622 2702978433 3003309370 4504964055 5405956866 9009928110 11112244669 13514892165 22224489338 27029784330 33336734007 55561223345 66673468014 100010202021 111122446690 166683670035 200020404042 333367340070 500051010105 1000102020210