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2001120210 = 2325374114657
BaseRepresentation
bin111011101000110…
…1010101111010010
312011110110102212100
41313101222233102
513044241321320
6530322541230
7100406145465
oct16721525722
95143412770
102001120210
11937642261
1247a207816
1325b77a1cb
1414daab2dc
15baa34790
hex7746abd2

2001120210 has 96 divisors (see below), whose sum is σ = 5474235312. Its totient is φ = 506511360.

The previous prime is 2001120203. The next prime is 2001120211. The reversal of 2001120210 is 120211002.

It can be written as a sum of positive squares in 8 ways, for example, as 1452295881 + 548824329 = 38109^2 + 23427^2 .

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 = 2001120192 and 2001120201.

It is not an unprimeable number, because it can be changed into a prime (2001120211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129202 + ... + 143858.

Almost surely, 22001120210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001120210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737117656).

2001120210 is an abundant number, since it is smaller than the sum of its proper divisors (3473115102).

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

2001120210 is a wasteful number, since it uses less digits than its factorization.

2001120210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14748 (or 14745 counting only the distinct ones).

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

The square root of 2001120210 is about 44733.8821252974. The cubic root of 2001120210 is about 1260.1562353507.

Adding to 2001120210 its reverse (120211002), we get a palindrome (2121331212).

The spelling of 2001120210 in words is "two billion, one million, one hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 41 45 74 82 90 111 123 185 205 222 246 333 369 370 410 555 615 666 738 1110 1230 1517 1665 1845 3034 3330 3690 4551 7585 9102 13653 14657 15170 22755 27306 29314 43971 45510 68265 73285 87942 131913 136530 146570 219855 263826 439710 542309 600937 659565 1084618 1201874 1319130 1626927 1802811 2711545 3004685 3253854 3605622 4880781 5408433 5423090 6009370 8134635 9014055 9761562 10816866 16269270 18028110 22234669 24403905 27042165 44469338 48807810 54084330 66704007 111173345 133408014 200112021 222346690 333520035 400224042 667040070 1000560105 2001120210