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1013333221104 = 243109312162057
BaseRepresentation
bin11101011111011110101…
…11011101111011110000
310120212120221020020100220
432233233113131323300
5113100301301033404
62053304023413040
7133132225155531
oct16575727357360
93525527206326
101013333221104
11360830205296
121444832b4180
13747316ca499
143708d152688
151b55c08a4d9
hexebef5ddef0

1013333221104 has 80 divisors (see below), whose sum is σ = 2642682836640. Its totient is φ = 334566236160.

The previous prime is 1013333221079. The next prime is 1013333221127. The reversal of 1013333221104 is 4011223333101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16298044 + ... + 16360100.

It is an arithmetic number, because the mean of its divisors is an integer number (33033535458).

Almost surely, 21013333221104 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 1013333221104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321341418320).

1013333221104 is an abundant number, since it is smaller than the sum of its proper divisors (1629349615536).

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

1013333221104 is a wasteful number, since it uses less digits than its factorization.

1013333221104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65298 (or 65292 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1013333221104 its reverse (4011223333101), we get a palindrome (5024556554205).

The spelling of 1013333221104 in words is "one trillion, thirteen billion, three hundred thirty-three million, two hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 654 872 1308 1744 2616 3121 5232 6242 9363 12484 18726 24968 37452 49936 62057 74904 124114 149808 186171 248228 340189 372342 496456 680378 744684 992912 1020567 1360756 1489368 2041134 2721512 2978736 4082268 5443024 6764213 8164536 13528426 16329072 20292639 27056852 40585278 54113704 81170556 108227408 162341112 193679897 324682224 387359794 581039691 774719588 1162079382 1549439176 2324158764 3098878352 4648317528 9296635056 21111108773 42222217546 63333326319 84444435092 126666652638 168888870184 253333305276 337777740368 506666610552 1013333221104