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112100100120 = 23335257403877
BaseRepresentation
bin110100001100110101…
…1111100100000011000
3101201100110010010011000
41220121223330200120
53314040111200440
6123255330105000
711045642062221
oct1503153744030
9351313103130
10112100100120
11435a5647448
121988611b160
13a7566214b8
1455d6098248
152db167e730
hex1a19afc818

112100100120 has 128 divisors (see below), whose sum is σ = 375121886400. Its totient is φ = 29776969728.

The previous prime is 112100100089. The next prime is 112100100127. The reversal of 112100100120 is 21001001211.

It is a happy number.

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 (112100100127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 75622 + ... + 479498.

Almost surely, 2112100100120 is an apocalyptic number.

112100100120 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 112100100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187560943200).

112100100120 is an abundant number, since it is smaller than the sum of its proper divisors (263021786280).

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

112100100120 is a wasteful number, since it uses less digits than its factorization.

112100100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404154 (or 404144 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 112100100120 its reverse (21001001211), we get a palindrome (133101101331).

It can be divided in two parts, 1 and 12100100120, that added together give a palindrome (12100100121).

The spelling of 112100100120 in words is "one hundred twelve billion, one hundred million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 257 270 360 514 540 771 1028 1080 1285 1542 2056 2313 2570 3084 3855 4626 5140 6168 6939 7710 9252 10280 11565 13878 15420 18504 23130 27756 30840 34695 46260 55512 69390 92520 138780 277560 403877 807754 1211631 1615508 2019385 2423262 3231016 3634893 4038770 4846524 6058155 7269786 8077540 9693048 10904679 12116310 14539572 16155080 18174465 21809358 24232620 29079144 36348930 43618716 48465240 54523395 72697860 87237432 103796389 109046790 145395720 207592778 218093580 311389167 415185556 436187160 518981945 622778334 830371112 934167501 1037963890 1245556668 1556945835 1868335002 2075927780 2491113336 2802502503 3113891670 3736670004 4151855560 4670837505 5605005006 6227783340 7473340008 9341675010 11210010012 12455566680 14012512515 18683350020 22420020024 28025025030 37366700040 56050050060 112100100120