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11710012000 = 25537937057
BaseRepresentation
bin10101110011111100…
…01001101001100000
31010020002110020121011
422321332021221200
5142440230341000
65213550110304
7563120313451
oct127176115140
933202406534
1011710012000
114a69aa6375
1223297ab394
131148060bab
147d12d3128
1548808d2ba
hex2b9f89a60

11710012000 has 96 divisors (see below), whose sum is σ = 29136481920. Its totient is φ = 4624588800.

The previous prime is 11710011997. The next prime is 11710012001. The reversal of 11710012000 is 21001711.

11710012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11710012001) 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 15 ways as a sum of consecutive naturals, for example, 297472 + ... + 334528.

It is an arithmetic number, because the mean of its divisors is an integer number (303505020).

Almost surely, 211710012000 is an apocalyptic number.

11710012000 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 11710012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14568240960).

11710012000 is an abundant number, since it is smaller than the sum of its proper divisors (17426469920).

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

11710012000 is an equidigital number, since it uses as much as digits as its factorization.

11710012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37161 (or 37143 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 13.

Adding to 11710012000 its reverse (21001711), we get a palindrome (11731013711).

The spelling of 11710012000 in words is "eleven billion, seven hundred ten million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 79 80 100 125 158 160 200 250 316 395 400 500 632 790 800 1000 1264 1580 1975 2000 2528 3160 3950 4000 6320 7900 9875 12640 15800 19750 31600 37057 39500 63200 74114 79000 148228 158000 185285 296456 316000 370570 592912 741140 926425 1185824 1482280 1852850 2927503 2964560 3705700 4632125 5855006 5929120 7411400 9264250 11710012 14637515 14822800 18528500 23420024 29275030 29645600 37057000 46840048 58550060 73187575 74114000 93680096 117100120 146375150 148228000 234200240 292750300 365937875 468400480 585500600 731875750 1171001200 1463751500 2342002400 2927503000 5855006000 11710012000