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112300040100 = 22352530370589
BaseRepresentation
bin110100010010110011…
…0101001111110100100
3101201212101100010020110
41220211212221332210
53314442302240400
6123331231333020
711053620406503
oct1504546517644
9351771303213
10112300040100
11436984992a6
1219921081170
13a788b87391
14561486283a
152dc3ec5e50
hex1a259a9fa4

112300040100 has 72 divisors (see below), whose sum is σ = 324987324480. Its totient is φ = 29940606080.

The previous prime is 112300040071. The next prime is 112300040107. The reversal of 112300040100 is 1040003211.

It is a happy number.

It is a super-2 number, since 2×1123000401002 (a number of 23 digits) contains 22 as substring.

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 (112300040107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1555606 + ... + 1626194.

It is an arithmetic number, because the mean of its divisors is an integer number (4513712840).

Almost surely, 2112300040100 is an apocalyptic number.

112300040100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112300040100 is an abundant number, since it is smaller than the sum of its proper divisors (212687284380).

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

112300040100 is a wasteful number, since it uses less digits than its factorization.

112300040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75909 (or 75902 counting only the distinct ones).

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

Adding to 112300040100 its reverse (1040003211), we get a palindrome (113340043311).

The spelling of 112300040100 in words is "one hundred twelve billion, three hundred million, forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 5303 10606 15909 21212 26515 31818 53030 63636 70589 79545 106060 132575 141178 159090 211767 265150 282356 318180 352945 397725 423534 530300 705890 795450 847068 1058835 1411780 1590900 1764725 2117670 3529450 4235340 5294175 7058900 10588350 21176700 374333467 748666934 1123000401 1497333868 1871667335 2246000802 3743334670 4492001604 5615002005 7486669340 9358336675 11230004010 18716673350 22460008020 28075010025 37433346700 56150020050 112300040100