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2013401104 = 241113341127
BaseRepresentation
bin111100000000010…
…0001000000010000
312012022120101002021
41320000201000100
513110412313404
6531442101224
7100615425031
oct17000410020
95168511067
102013401104
11943570060
1248234a814
1326118a000
14151586a88
15bbb5d454
hex78021010

2013401104 has 160 divisors (see below), whose sum is σ = 4759695360. Its totient is φ = 817689600.

The previous prime is 2013401099. The next prime is 2013401107. The reversal of 2013401104 is 4011043102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2013401107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15853489 + ... + 15853615.

It is an arithmetic number, because the mean of its divisors is an integer number (29748096).

Almost surely, 22013401104 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 2013401104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379847680).

2013401104 is an abundant number, since it is smaller than the sum of its proper divisors (2746294256).

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

2013401104 is a wasteful number, since it uses less digits than its factorization.

2013401104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2013401104 is about 44870.9383008646. The cubic root of 2013401104 is about 1262.7288434497.

Adding to 2013401104 its reverse (4011043102), we get a palindrome (6024444206).

The spelling of 2013401104 in words is "two billion, thirteen million, four hundred one thousand, one hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 41 44 52 82 88 104 127 143 164 169 176 208 254 286 328 338 451 508 533 572 656 676 902 1016 1066 1144 1352 1397 1651 1804 1859 2032 2132 2197 2288 2704 2794 3302 3608 3718 4264 4394 5207 5588 5863 6604 6929 7216 7436 8528 8788 10414 11176 11726 13208 13858 14872 17576 18161 20828 21463 22352 23452 24167 26416 27716 29744 35152 36322 41656 42926 46904 48334 55432 57277 67691 72644 76219 83312 85852 90077 93808 96668 110864 114554 135382 145288 152438 171704 180154 193336 229108 236093 270764 279019 290576 304876 343408 360308 386672 458216 472186 541528 558038 609752 720616 744601 879983 916432 944372 990847 1083056 1116076 1219504 1441232 1489202 1759966 1888744 1981694 2232152 2978404 3069209 3519932 3777488 3963388 4464304 5956808 6138418 7039864 7926776 9679813 11439779 11913616 12276836 14079728 15853552 19359626 22879558 24553672 38719252 45759116 49107344 77438504 91518232 125837569 154877008 183036464 251675138 503350276 1006700552 2013401104