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2001010022010 = 232522233444689
BaseRepresentation
bin11101000111100101011…
…111011101011001111010
321002021221211101021200200
4131013211133131121322
5230241032031201020
64131130141143030
7264365615356446
oct35074537353172
97067854337620
102001010022010
11701694a9a31a
1228398625aa76
131169048a012c
146cbc6a89826
15370b69dd590
hex1d1e57dd67a

2001010022010 has 24 divisors (see below), whose sum is σ = 5202626057460. Its totient is φ = 533602672512.

The previous prime is 2001010021981. The next prime is 2001010022017. The reversal of 2001010022010 is 102200101002.

It can be written as a sum of positive squares in 2 ways, for example, as 1999681638201 + 1328383809 = 1414101^2 + 36447^2 .

It is a super-2 number, since 2×20010100220102 (a number of 25 digits) contains 22 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 = 2001010021983 and 2001010022001.

It is not an unprimeable number, because it can be changed into a prime (2001010022017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11116722255 + ... + 11116722434.

Almost surely, 22001010022010 is an apocalyptic number.

2001010022010 is an abundant number, since it is smaller than the sum of its proper divisors (3201616035450).

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

2001010022010 is a wasteful number, since it uses less digits than its factorization.

2001010022010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22233444702 (or 22233444699 counting only the distinct ones).

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

Adding to 2001010022010 its reverse (102200101002), we get a palindrome (2103210123012).

The spelling of 2001010022010 in words is "two trillion, one billion, ten million, twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 22233444689 44466889378 66700334067 111167223445 133400668134 200101002201 222334446890 333501670335 400202004402 667003340670 1000505011005 2001010022010