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1010000222010 = 2335132113134357
BaseRepresentation
bin11101011001010001011…
…01000101011100111010
310120112222122121100011000
432230220231011130322
5113021440024101020
62051553201545430
7132653514144153
oct16545055053472
93515878540130
101010000222010
1135a37a88178a
121438b3045276
1374320033080
1436c5462692a
151b41466a090
hexeb28b4573a

1010000222010 has 256 divisors, whose sum is σ = 2924241707520. Its totient is φ = 246590023680.

The previous prime is 1010000222009. The next prime is 1010000222041. The reversal of 1010000222010 is 102220000101.

It is a super-3 number, since 3×10100002220103 (a number of 37 digits) contains 333 as substring.

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 = 1010000221983 and 1010000222001.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 231808752 + ... + 231813108.

It is an arithmetic number, because the mean of its divisors is an integer number (11422819170).

Almost surely, 21010000222010 is an apocalyptic number.

1010000222010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010000222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462120853760).

1010000222010 is an abundant number, since it is smaller than the sum of its proper divisors (1914241485510).

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

1010000222010 is a wasteful number, since it uses less digits than its factorization.

1010000222010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4910 (or 4904 counting only the distinct ones).

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

Adding to 1010000222010 its reverse (102220000101), we get a palindrome (1112220222111).

The spelling of 1010000222010 in words is "one trillion, ten billion, two hundred twenty-two thousand, ten".