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2001120212 = 227213260413
BaseRepresentation
bin111011101000110…
…1010101111010100
312011110110102212102
41313101222233110
513044241321322
6530322541232
7100406145500
oct16721525724
95143412772
102001120212
11937642263
1247a207818
1325b77a200
1414daab300
15baa34792
hex7746abd4

2001120212 has 54 divisors (see below), whose sum is σ = 4411249038. Its totient is φ = 791638848.

The previous prime is 2001120211. The next prime is 2001120227. The reversal of 2001120212 is 2120211002.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 94400656 + 1906719556 = 9716^2 + 43666^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2001120193 and 2001120202.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 2918 + ... + 63330.

It is an arithmetic number, because the mean of its divisors is an integer number (81689797).

Almost surely, 22001120212 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 2001120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205624519).

2001120212 is an abundant number, since it is smaller than the sum of its proper divisors (2410128826).

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

2001120212 is a wasteful number, since it uses less digits than its factorization.

2001120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60457 (or 60435 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2001120212 is about 44733.8821476518. The cubic root of 2001120212 is about 1260.1562357705.

Adding to 2001120212 its reverse (2120211002), we get a palindrome (4121331214).

The spelling of 2001120212 in words is "two billion, one million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 1183 1274 2366 2548 4732 8281 16562 33124 60413 120826 241652 422891 785369 845782 1570738 1691564 2960237 3141476 5497583 5920474 10209797 10995166 11840948 20419594 21990332 38483081 40839188 71468579 76966162 142937158 153932324 285874316 500280053 1000560106 2001120212