Search a number
-
+
112132254400 = 2652193688561
BaseRepresentation
bin110100001101110011…
…0100110101011000000
3101201102200121201112021
41220123212212223000
53314121324120100
6123302435211224
711046512302405
oct1503346465300
9351380551467
10112132254400
1143611809431
1219894a46b14
13a76019bbba
1455da4682ac
152db43d1a1a
hex1a1b9a6ac0

112132254400 has 84 divisors (see below), whose sum is σ = 290437371880. Its totient is φ = 42492211200.

The previous prime is 112132254397. The next prime is 112132254413. The reversal of 112132254400 is 4452231211.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 11 ways as a sum of consecutive naturals, for example, 1813881 + ... + 1874680.

Almost surely, 2112132254400 is an apocalyptic number.

112132254400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112132254400 is an abundant number, since it is smaller than the sum of its proper divisors (178305117480).

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

112132254400 is a wasteful number, since it uses less digits than its factorization.

112132254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688602 (or 3688587 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 112132254400 its reverse (4452231211), we get a palindrome (116584485611).

The spelling of 112132254400 in words is "one hundred twelve billion, one hundred thirty-two million, two hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 152 160 190 200 304 320 380 400 475 608 760 800 950 1216 1520 1600 1900 3040 3800 6080 7600 15200 30400 3688561 7377122 14754244 18442805 29508488 36885610 59016976 70082659 73771220 92214025 118033952 140165318 147542440 184428050 236067904 280330636 295084880 350413295 368856100 560661272 590169760 700826590 737712200 1121322544 1180339520 1401653180 1475424400 1752066475 2242645088 2803306360 2950848800 3504132950 4485290176 5606612720 5901697600 7008265900 11213225440 14016531800 22426450880 28033063600 56066127200 112132254400