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112024133300 = 225217419157271
BaseRepresentation
bin110100001010100101…
…0001001111010110100
3101201011011011121021002
41220111022021322310
53313411134231200
6123244013542432
711044030264502
oct1502512117264
9351134147232
10112024133300
1143566780452
12198647a4a18
13a743973b11
1455c9d61672
152da9b75bd5
hex1a15289eb4

112024133300 has 72 divisors (see below), whose sum is σ = 258007861440. Its totient is φ = 42072870400.

The previous prime is 112024133269. The next prime is 112024133371. The reversal of 112024133300 is 3331420211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 633665 + ... + 790935.

It is an arithmetic number, because the mean of its divisors is an integer number (3583442520).

Almost surely, 2112024133300 is an apocalyptic number.

112024133300 is a gapful number since it is divisible by the number (10) 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 112024133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129003930720).

112024133300 is an abundant number, since it is smaller than the sum of its proper divisors (145983728140).

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

112024133300 is a wasteful number, since it uses less digits than its factorization.

112024133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157721 (or 157714 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 112024133300 its reverse (3331420211), we get a palindrome (115355553511).

The spelling of 112024133300 in words is "one hundred twelve billion, twenty-four million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 419 425 838 850 1676 1700 2095 4190 7123 8380 10475 14246 20950 28492 35615 41900 71230 142460 157271 178075 314542 356150 629084 712300 786355 1572710 2673607 3145420 3931775 5347214 7863550 10694428 13368035 15727100 26736070 53472140 65896549 66840175 131793098 133680350 263586196 267360700 329482745 658965490 1120241333 1317930980 1647413725 2240482666 3294827450 4480965332 5601206665 6589654900 11202413330 22404826660 28006033325 56012066650 112024133300