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112130100 = 223252314019
BaseRepresentation
bin1101010111011…
…11100000110100
321210222210120200
412223233200310
5212201130400
615043200500
72531042625
oct653574064
9253883520
10112130100
1158327005
1231676130
131a2cca94
1410c6ba4c
159c9db00
hex6aef834

112130100 has 108 divisors (see below), whose sum is σ = 362893440. Its totient is φ = 28929600.

The previous prime is 112130093. The next prime is 112130101. The reversal of 112130100 is 1031211.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112130101) 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, 25891 + ... + 29909.

Almost surely, 2112130100 is an apocalyptic number.

112130100 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 112130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181446720).

112130100 is an abundant number, since it is smaller than the sum of its proper divisors (250763340).

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

112130100 is a wasteful number, since it uses less digits than its factorization.

112130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4070 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 112130100 is about 10589.1501075393. The cubic root of 112130100 is about 482.2150231778.

Adding to 112130100 its reverse (1031211), we get a palindrome (113161311).

The spelling of 112130100 in words is "one hundred twelve million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 31 36 45 50 60 62 75 90 93 100 124 150 155 180 186 225 279 300 310 372 450 465 558 620 775 900 930 1116 1395 1550 1860 2325 2790 3100 4019 4650 5580 6975 8038 9300 12057 13950 16076 20095 24114 27900 36171 40190 48228 60285 72342 80380 100475 120570 124589 144684 180855 200950 241140 249178 301425 361710 373767 401900 498356 602850 622945 723420 747534 904275 1121301 1205700 1245890 1495068 1808550 1868835 2242602 2491780 3114725 3617100 3737670 4485204 5606505 6229450 7475340 9344175 11213010 12458900 18688350 22426020 28032525 37376700 56065050 112130100