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210010022010 = 232511320649953
BaseRepresentation
bin1100001110010110010…
…0101010000001111010
3202002001221220111020100
43003211210222001322
511420100031201020
6240251031340230
721113146506435
oct3034544520172
9662057814210
10210010022010
1181079200968
123484bb21676
1316a5b108219
14a2436d281c
1556e2161a90
hex30e592a07a

210010022010 has 48 divisors (see below), whose sum is σ = 550858172904. Its totient is φ = 55507070976.

The previous prime is 210010022003. The next prime is 210010022051. The reversal of 210010022010 is 10220010012.

It can be written as a sum of positive squares in 4 ways, for example, as 87979271769 + 122030750241 = 296613^2 + 349329^2 .

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 = 210010021983 and 210010022001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10314807 + ... + 10335146.

Almost surely, 2210010022010 is an apocalyptic number.

210010022010 is an abundant number, since it is smaller than the sum of its proper divisors (340848150894).

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

210010022010 is a wasteful number, since it uses less digits than its factorization.

210010022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20650079 (or 20650076 counting only the distinct ones).

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

Adding to 210010022010 its reverse (10220010012), we get a palindrome (220230032022).

The spelling of 210010022010 in words is "two hundred ten billion, ten million, twenty-two thousand, ten".

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 20649953 41299906 61949859 103249765 123899718 185849577 206499530 309749295 371699154 619498590 929247885 1858495770 2333444689 4666889378 7000334067 11667223445 14000668134 21001002201 23334446890 35001670335 42002004402 70003340670 105005011005 210010022010