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2141013060 = 223453973329
BaseRepresentation
bin111111110011101…
…0100010001000100
312112012200201210000
41333213110101010
513341044404220
6552241201300
7104025211404
oct17747242104
95465621700
102141013060
119a960088a
124b9030230
1328174a844
141644c4804
15c7e69390
hex7f9d4444

2141013060 has 120 divisors (see below), whose sum is σ = 6735377880. Its totient is φ = 569327616.

The previous prime is 2141013059. The next prime is 2141013143. The reversal of 2141013060 is 603101412.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 256064004 + 1884949056 = 16002^2 + 43416^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 641476 + ... + 644804.

It is an arithmetic number, because the mean of its divisors is an integer number (56128149).

Almost surely, 22141013060 is an apocalyptic number.

2141013060 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 2141013060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367688940).

2141013060 is an abundant number, since it is smaller than the sum of its proper divisors (4594364820).

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

2141013060 is a wasteful number, since it uses less digits than its factorization.

2141013060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3747 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2141013060 is about 46271.0823301120. The cubic root of 2141013060 is about 1288.8620576008.

Adding to 2141013060 its reverse (603101412), we get a palindrome (2744114472).

The spelling of 2141013060 in words is "two billion, one hundred forty-one million, thirteen thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 397 405 540 794 810 1191 1588 1620 1985 2382 3329 3573 3970 4764 5955 6658 7146 7940 9987 10719 11910 13316 14292 16645 17865 19974 21438 23820 29961 32157 33290 35730 39948 42876 49935 53595 59922 64314 66580 71460 89883 99870 107190 119844 128628 149805 160785 179766 199740 214380 269649 299610 321570 359532 449415 539298 599220 643140 898830 1078596 1321613 1348245 1797660 2643226 2696490 3964839 5286452 5392980 6608065 7929678 11894517 13216130 15859356 19824195 23789034 26432260 35683551 39648390 47578068 59472585 71367102 79296780 107050653 118945170 142734204 178417755 214101306 237890340 356835510 428202612 535253265 713671020 1070506530 2141013060