Search a number
-
+
112100300 = 225213531627
BaseRepresentation
bin1101010111010…
…00001111001100
321210221021200222
412223220033030
5212144202200
615042410512
72530560014
oct653501714
9253837628
10112100300
1158306684
1231660a38
131a2bc350
1410c60c44
159c94d85
hex6ae83cc

112100300 has 72 divisors (see below), whose sum is σ = 267076656. Its totient is φ = 40584960.

The previous prime is 112100293. The next prime is 112100347. The reversal of 112100300 is 3001211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68087 + ... + 69713.

It is an arithmetic number, because the mean of its divisors is an integer number (3709398).

Almost surely, 2112100300 is an apocalyptic number.

112100300 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 112100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133538328).

112100300 is an abundant number, since it is smaller than the sum of its proper divisors (154976356).

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

112100300 is a wasteful number, since it uses less digits than its factorization.

112100300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 112100300 is about 10587.7429133881. The cubic root of 112100300 is about 482.1723011348.

Adding to 112100300 its reverse (3001211), we get a palindrome (115101511).

The spelling of 112100300 in words is "one hundred twelve million, one hundred thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 53 65 100 106 130 212 260 265 325 530 650 689 1060 1300 1325 1378 1627 2650 2756 3254 3445 5300 6508 6890 8135 13780 16270 17225 21151 32540 34450 40675 42302 68900 81350 84604 86231 105755 162700 172462 211510 344924 423020 431155 528775 862310 1057550 1121003 1724620 2115100 2155775 2242006 4311550 4484012 5605015 8623100 11210030 22420060 28025075 56050150 112100300