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112004110000 = 245443325867
BaseRepresentation
bin110100001001111110…
…1110001011010110000
3101201002202111022110101
41220103331301122300
53313341023010000
6123242020442144
711043365140516
oct1502375613260
9351082438411
10112004110000
1143556444672
1219859b49354
13a73c782c03
1455c742c4b6
152da801ce6a
hex1a13f716b0

112004110000 has 100 divisors (see below), whose sum is σ = 271809924232. Its totient is φ = 44696448000.

The previous prime is 112004109979. The next prime is 112004110051. The reversal of 112004110000 is 11400211.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 4317067 + ... + 4342933.

Almost surely, 2112004110000 is an apocalyptic number.

112004110000 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 112004110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135904962116).

112004110000 is an abundant number, since it is smaller than the sum of its proper divisors (159805814232).

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

112004110000 is an equidigital number, since it uses as much as digits as its factorization.

112004110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26328 (or 26307 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 112004110000 its reverse (11400211), we get a palindrome (112015510211).

The spelling of 112004110000 in words is "one hundred twelve billion, four million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 433 500 625 866 1000 1250 1732 2000 2165 2500 3464 4330 5000 6928 8660 10000 10825 17320 21650 25867 34640 43300 51734 54125 86600 103468 108250 129335 173200 206936 216500 258670 270625 413872 433000 517340 541250 646675 866000 1034680 1082500 1293350 2069360 2165000 2586700 3233375 4330000 5173400 6466750 10346800 11200411 12933500 16166875 22400822 25867000 32333750 44801644 51734000 56002055 64667500 89603288 112004110 129335000 179206576 224008220 258670000 280010275 448016440 560020550 896032880 1120041100 1400051375 2240082200 2800102750 4480164400 5600205500 7000256875 11200411000 14000513750 22400822000 28001027500 56002055000 112004110000