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2001010212 = 2232232179587
BaseRepresentation
bin111011101000100…
…1111111000100100
312011110020211222100
41313101033320210
513044224311322
6530320332100
7100405210005
oct16721177044
95143224870
102001010212
11937577653
1247a174030
1325b73c116
1414da7d1ac
15baa11dac
hex7744fe24

2001010212 has 108 divisors (see below), whose sum is σ = 5326186320. Its totient is φ = 633358176.

The previous prime is 2001010169. The next prime is 2001010247. The reversal of 2001010212 is 2120101002.

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 = 2001010194 and 2001010203.

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 35 ways as a sum of consecutive naturals, for example, 3408583 + ... + 3409169.

It is an arithmetic number, because the mean of its divisors is an integer number (49316540).

Almost surely, 22001010212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663093160).

2001010212 is an abundant number, since it is smaller than the sum of its proper divisors (3325176108).

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

2001010212 is a wasteful number, since it uses less digits than its factorization.

2001010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 794 counting only the distinct ones).

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

The square root of 2001010212 is about 44732.6526376427. The cubic root of 2001010212 is about 1260.1331454159.

Adding to 2001010212 its reverse (2120101002), we get a palindrome (4121111214).

The spelling of 2001010212 in words is "two billion, one million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 179 207 276 358 414 529 537 587 716 828 1058 1074 1174 1587 1611 1761 2116 2148 2348 3174 3222 3522 4117 4761 5283 6348 6444 7044 8234 9522 10566 12351 13501 16468 19044 21132 24702 27002 37053 40503 49404 54004 74106 81006 94691 105073 121509 148212 162012 189382 210146 243018 284073 310523 315219 378764 420292 486036 568146 621046 630438 852219 931569 945657 1136292 1242092 1260876 1704438 1863138 1891314 2416679 2794707 3408876 3726276 3782628 4833358 5589414 7250037 9666716 11178828 14500074 21750111 29000148 43500222 55583617 87000444 111167234 166750851 222334468 333501702 500252553 667003404 1000505106 2001010212