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2141003304 = 2332115994513
BaseRepresentation
bin111111110011101…
…0001111000101000
312112012200020101200
41333213101320220
513341044101204
6552241044200
7104025141066
oct17747217050
95465606350
102141003304
119a95a4520
124b9026660
1328174627b
141644c1036
15c7e66539
hex7f9d1e28

2141003304 has 96 divisors (see below), whose sum is σ = 6337656000. Its totient is φ = 647562240.

The previous prime is 2141003297. The next prime is 2141003327. The reversal of 2141003304 is 4033001412.

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 23 ways as a sum of consecutive naturals, for example, 472152 + ... + 476664.

It is an arithmetic number, because the mean of its divisors is an integer number (66017250).

Almost surely, 22141003304 is an apocalyptic number.

2141003304 is a gapful number since it is divisible by the number (24) 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 2141003304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168828000).

2141003304 is an abundant number, since it is smaller than the sum of its proper divisors (4196652696).

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

2141003304 is a wasteful number, since it uses less digits than its factorization.

2141003304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5135 (or 5128 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2141003304 is about 46270.9769077767. The cubic root of 2141003304 is about 1288.8600999361.

Adding to 2141003304 its reverse (4033001412), we get a palindrome (6174004716).

The spelling of 2141003304 in words is "two billion, one hundred forty-one million, three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 599 792 1198 1797 2396 3594 4513 4792 5391 6589 7188 9026 10782 13178 13539 14376 18052 19767 21564 26356 27078 36104 39534 40617 43128 49643 52712 54156 59301 79068 81234 99286 108312 118602 148929 158136 162468 198572 237204 297858 324936 397144 446787 474408 595716 893574 1191432 1787148 2703287 3574296 5406574 8109861 10813148 16219722 21626296 24329583 29736157 32439444 48659166 59472314 64878888 89208471 97318332 118944628 178416942 194636664 237889256 267625413 356833884 535250826 713667768 1070501652 2141003304