Search a number
-
+
112332322300 = 225211231299473
BaseRepresentation
bin110100010011110000…
…1110011010111111100
3101201221122002020002111
41220213201303113330
53320024033303200
6123334343303404
711054461661632
oct1504741632774
9351848066074
10112332322300
1143704738400
121992ba4ab64
13a79277b083
145618c67352
152dc6c510ba
hex1a278735fc

112332322300 has 108 divisors (see below), whose sum is σ = 276579811648. Its totient is φ = 39530304000.

The previous prime is 112332322279. The next prime is 112332322309. The reversal of 112332322300 is 3223233211.

112332322300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1123323223002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112332322309) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 225364 + ... + 524836.

Almost surely, 2112332322300 is an apocalyptic number.

112332322300 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 112332322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138289905824).

112332322300 is an abundant number, since it is smaller than the sum of its proper divisors (164247489348).

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

112332322300 is a wasteful number, since it uses less digits than its factorization.

112332322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299540 (or 299522 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 112332322300 its reverse (3223233211), we get a palindrome (115555555511).

The spelling of 112332322300 in words is "one hundred twelve billion, three hundred thirty-two million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 121 124 155 220 242 275 310 341 484 550 605 620 682 775 1100 1210 1364 1550 1705 2420 3025 3100 3410 3751 6050 6820 7502 8525 12100 15004 17050 18755 34100 37510 75020 93775 187550 299473 375100 598946 1197892 1497365 2994730 3294203 5989460 6588406 7486825 9283663 13176812 14973650 16471015 18567326 29947300 32942030 36236233 37134652 46418315 65884060 72472466 82355075 92836630 102120293 144944932 164710150 181181165 185673260 204240586 232091575 329420300 362362330 408481172 464183150 510601465 724724660 905905825 928366300 1021202930 1123323223 1811811650 2042405860 2246646446 2553007325 3623623300 4493292892 5106014650 5616616115 10212029300 11233232230 22466464460 28083080575 56166161150 112332322300