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223013130012 = 223323337126633
BaseRepresentation
bin1100111110110010011…
…1100100111100011100
3210022122011112211002000
43033230213210330130
512123212330130022
6250241213202300
722053321220341
oct3175447447434
9708564484060
10223013130012
1186641109412
123727a790390
131805102777a
14ab1862a7c8
155c039c96ac
hex33ec9e4f1c

223013130012 has 96 divisors (see below), whose sum is σ = 603522178560. Its totient is φ = 71081873280.

The previous prime is 223013129921. The next prime is 223013130029. The reversal of 223013130012 is 210031310322.

223013130012 is a `hidden beast` number, since 2 + 230 + 131 + 300 + 1 + 2 = 666.

223013130012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8360248 + ... + 8386880.

It is an arithmetic number, because the mean of its divisors is an integer number (6286689360).

Almost surely, 2223013130012 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 223013130012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301761089280).

223013130012 is an abundant number, since it is smaller than the sum of its proper divisors (380509048548).

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

223013130012 is a wasteful number, since it uses less digits than its factorization.

223013130012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30040 (or 30032 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 223013130012 its reverse (210031310322), we get a palindrome (433044440334).

The spelling of 223013130012 in words is "two hundred twenty-three billion, thirteen million, one hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 3371 6742 10113 13484 20226 26633 30339 40452 53266 60678 77533 79899 91017 106532 121356 155066 159798 182034 232599 239697 310132 319596 364068 465198 479394 612559 697797 719091 930396 958788 1225118 1395594 1438182 1837677 2093391 2450236 2791188 2876364 3675354 4186782 5513031 7350708 8373564 11026062 16539093 22052124 33078186 66156372 89779843 179559686 269339529 359119372 538679058 808018587 1077358116 1616037174 2064936389 2424055761 3232074348 4129872778 4848111522 6194809167 8259745556 9696223044 12389618334 18584427501 24779236668 37168855002 55753282503 74337710004 111506565006 223013130012