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112130020100 = 225271374792441
BaseRepresentation
bin110100001101101111…
…0000101001100000100
3101201102112102012122102
41220123132011030010
53314120241120400
6123302315251232
711046454305410
oct1503336051404
9351375365572
10112130020100
11436105227aa
1219894149b18
13a75c898c27
1455da045d40
152db40de9d5
hex1a1b785304

112130020100 has 144 divisors (see below), whose sum is σ = 280812026880. Its totient is φ = 38068684800.

The previous prime is 112130020087. The next prime is 112130020109. The reversal of 112130020100 is 1020031211.

It is not an unprimeable number, because it can be changed into a prime (112130020109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45934880 + ... + 45937320.

It is an arithmetic number, because the mean of its divisors is an integer number (1950083520).

Almost surely, 2112130020100 is an apocalyptic number.

112130020100 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 112130020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140406013440).

112130020100 is an abundant number, since it is smaller than the sum of its proper divisors (168682006780).

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

112130020100 is a wasteful number, since it uses less digits than its factorization.

112130020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 112130020100 its reverse (1020031211), we get a palindrome (113150051311).

The spelling of 112130020100 in words is "one hundred twelve billion, one hundred thirty million, twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 137 140 175 274 350 479 548 685 700 958 959 1370 1916 1918 2395 2441 2740 3353 3425 3836 4790 4795 4882 6706 6850 9580 9590 9764 11975 12205 13412 13700 16765 17087 19180 23950 23975 24410 33530 34174 47900 47950 48820 61025 65623 67060 68348 83825 85435 95900 122050 131246 167650 170870 244100 262492 328115 334417 335300 341740 427175 459361 656230 668834 854350 918722 1169239 1312460 1337668 1640575 1672085 1708700 1837444 2296805 2338478 2340919 3281150 3344170 4593610 4676956 4681838 5846195 6562300 6688340 8184673 8360425 9187220 9363676 11484025 11692390 11704595 16369346 16720850 22968050 23384780 23409190 29230975 32738692 33441700 40923365 45936100 46818380 58461950 58522975 81846730 116923900 117045950 160185743 163693460 204616825 234091900 320371486 409233650 640742972 800928715 818467300 1121300201 1601857430 2242600402 3203714860 4004643575 4485200804 5606501005 8009287150 11213002010 16018574300 22426004020 28032505025 56065010050 112130020100