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2001111060 = 22351312720201
BaseRepresentation
bin111011101000110…
…1000100000010100
312011110102222022110
41313101220200110
513044241023220
6530322431020
7100406110014
oct16721504024
95143388273
102001111060
119376363a3
1247a202470
1325b775cb0
1414daa7c44
15baa31be0
hex77468814

2001111060 has 96 divisors (see below), whose sum is σ = 6081933312. Its totient is φ = 488678400.

The previous prime is 2001111059. The next prime is 2001111061. The reversal of 2001111060 is 601111002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2001111059) and next prime (2001111061).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001111061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88960 + ... + 109160.

It is an arithmetic number, because the mean of its divisors is an integer number (63353472).

Almost surely, 22001111060 is an apocalyptic number.

2001111060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001111060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040966656).

2001111060 is an abundant number, since it is smaller than the sum of its proper divisors (4080822252).

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

2001111060 is a wasteful number, since it uses less digits than its factorization.

2001111060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20353 (or 20351 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 2001111060 is about 44733.7798537079. The cubic root of 2001111060 is about 1260.1543146853.

Adding to 2001111060 its reverse (601111002), we get a palindrome (2602222062).

The spelling of 2001111060 in words is "two billion, one million, one hundred eleven thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 127 130 156 195 254 260 381 390 508 635 762 780 1270 1524 1651 1905 2540 3302 3810 4953 6604 7620 8255 9906 16510 19812 20201 24765 33020 40402 49530 60603 80804 99060 101005 121206 202010 242412 262613 303015 404020 525226 606030 787839 1050452 1212060 1313065 1575678 2565527 2626130 3151356 3939195 5131054 5252260 7696581 7878390 10262108 12827635 15393162 15756780 25655270 30786324 33351851 38482905 51310540 66703702 76965810 100055553 133407404 153931620 166759255 200111106 333518510 400222212 500277765 667037020 1000555530 2001111060