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10012110011000 = 235361164132951
BaseRepresentation
bin1001000110110010000001…
…0000101011101001111000
31022110011000011100112220022
42101230200100223221320
52303014300130323000
633143255544350012
72052231263626646
oct221544020535170
938404004315808
1010012110011000
1132101260a4579
1211584b7475308
135781a402a3c6
142688355c6196
15125688194585
hex91b2042ba78

10012110011000 has 64 divisors (see below), whose sum is σ = 23812408676160. Its totient is φ = 3939190800000.

The previous prime is 10012110010993. The next prime is 10012110011003. The reversal of 10012110011000 is 11001121001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012110011003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82005476 + ... + 82127475.

It is an arithmetic number, because the mean of its divisors is an integer number (372068885565).

Almost surely, 210012110011000 is an apocalyptic number.

10012110011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012110011000 is an abundant number, since it is smaller than the sum of its proper divisors (13800298665160).

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

10012110011000 is a wasteful number, since it uses less digits than its factorization.

10012110011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164133033 (or 164133019 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10012110011000 its reverse (11001121001), we get a palindrome (10023111132001).

The spelling of 10012110011000 in words is "ten trillion, twelve billion, one hundred ten million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 200 244 250 305 488 500 610 1000 1220 1525 2440 3050 6100 7625 12200 15250 30500 61000 164132951 328265902 656531804 820664755 1313063608 1641329510 3282659020 4103323775 6565318040 8206647550 10012110011 16413295100 20024220022 20516618875 32826590200 40048440044 41033237750 50060550055 80096880088 82066475500 100121100110 164132951000 200242200220 250302750275 400484400440 500605500550 1001211001100 1251513751375 2002422002200 2503027502750 5006055005500 10012110011000