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10013223304100 = 2252238941913869
BaseRepresentation
bin1001000110110110001010…
…0111100011101110100100
31022110020212202012200221002
42101231202213203232210
52303024040131212400
633144002234212432
72052301002516302
oct221554247435644
938406782180832
1010013223304100
113210647569115
121158768284118
13578320883813
142688dd3c5272
15125700ca3ed5
hex91b629e3ba4

10013223304100 has 36 divisors (see below), whose sum is σ = 21737790398100. Its totient is φ = 4003612671360.

The previous prime is 10013223304087. The next prime is 10013223304151. The reversal of 10013223304100 is 140332231001.

10013223304100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3437701642816 + 6575521661284 = 1854104^2 + 2564278^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20718035 + ... + 21195834.

Almost surely, 210013223304100 is an apocalyptic number.

10013223304100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013223304100 is an abundant number, since it is smaller than the sum of its proper divisors (11724567094000).

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

10013223304100 is a wasteful number, since it uses less digits than its factorization.

10013223304100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41916272 (or 41916265 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10013223304100 its reverse (140332231001), we get a palindrome (10153555535101).

The spelling of 10013223304100 in words is "ten trillion, thirteen billion, two hundred twenty-three million, three hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2389 4778 9556 11945 23890 47780 59725 119450 238900 41913869 83827738 167655476 209569345 419138690 838277380 1047846725 2095693450 4191386900 100132233041 200264466082 400528932164 500661165205 1001322330410 2002644660820 2503305826025 5006611652050 10013223304100