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113201004 = 22374753541
BaseRepresentation
bin1101011111101…
…00111101101100
321220000012120210
412233310331230
5212434413004
615122142420
72543123040
oct657647554
9256005523
10113201004
1158998654
1231ab1a10
131a5b6357
141106a020
159e11089
hex6bf4f6c

113201004 has 96 divisors (see below), whose sum is σ = 314689536. Its totient is φ = 31000320.

The previous prime is 113201003. The next prime is 113201029. The reversal of 113201004 is 400102311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (113201003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208974 + ... + 209514.

It is an arithmetic number, because the mean of its divisors is an integer number (3278016).

Almost surely, 2113201004 is an apocalyptic number.

113201004 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 113201004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157344768).

113201004 is an abundant number, since it is smaller than the sum of its proper divisors (201488532).

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

113201004 is a wasteful number, since it uses less digits than its factorization.

113201004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 113201004 is about 10639.5960449634. The cubic root of 113201004 is about 483.7453011849.

Adding to 113201004 its reverse (400102311), we get a palindrome (513303315).

The spelling of 113201004 in words is "one hundred thirteen million, two hundred one thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 53 84 94 106 141 159 188 212 282 318 329 371 541 564 636 658 742 987 1082 1113 1316 1484 1623 1974 2164 2226 2491 3246 3787 3948 4452 4982 6492 7473 7574 9964 11361 14946 15148 17437 22722 25427 28673 29892 34874 45444 50854 52311 57346 69748 76281 86019 101708 104622 114692 152562 172038 177989 200711 209244 305124 344076 355978 401422 533967 602133 711956 802844 1067934 1204266 1347631 2135868 2408532 2695262 4042893 5390524 8085786 9433417 16171572 18866834 28300251 37733668 56600502 113201004