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111004143264 = 25327433127163
BaseRepresentation
bin110011101100001011…
…1001100111010100000
3101121112001212201222100
41213120113030322200
53304314030041024
6122554500010400
711006533435560
oct1473027147240
9347461781870
10111004143264
1143092a43883
121961b090a00
13a610557c11
1455306ccda0
152d4a3467c9
hex19d85ccea0

111004143264 has 144 divisors (see below), whose sum is σ = 361599481152. Its totient is φ = 31641974784.

The previous prime is 111004143209. The next prime is 111004143269. The reversal of 111004143264 is 462341400111.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (111004143269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 809347 + ... + 936509.

It is an arithmetic number, because the mean of its divisors is an integer number (2511107508).

Almost surely, 2111004143264 is an apocalyptic number.

111004143264 is a gapful number since it is divisible by the number (14) 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 111004143264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180799740576).

111004143264 is an abundant number, since it is smaller than the sum of its proper divisors (250595337888).

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

111004143264 is a wasteful number, since it uses less digits than its factorization.

111004143264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127619 (or 127608 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 111004143264 its reverse (462341400111), we get a palindrome (573345543375).

The spelling of 111004143264 in words is "one hundred eleven billion, four million, one hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 433 504 672 866 1008 1299 1732 2016 2598 3031 3464 3897 5196 6062 6928 7794 9093 10392 12124 13856 15588 18186 20784 24248 27279 31176 36372 41568 48496 54558 62352 72744 96992 109116 124704 127163 145488 218232 254326 290976 381489 436464 508652 762978 872928 890141 1017304 1144467 1525956 1780282 2034608 2288934 2670423 3051912 3560564 4069216 4577868 5340846 6103824 7121128 8011269 9155736 10681692 12207648 14242256 16022538 18311472 21363384 28484512 32045076 36622944 42726768 55061579 64090152 85453536 110123158 128180304 165184737 220246316 256360608 330369474 385431053 440492632 495554211 660738948 770862106 880985264 991108422 1156293159 1321477896 1541724212 1761970528 1982216844 2312586318 2642955792 3083448424 3468879477 3964433688 4625172636 5285911584 6166896848 6937758954 7928867376 9250345272 12333793696 13875517908 15857734752 18500690544 27751035816 37001381088 55502071632 111004143264