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10010022001020 = 2232555611233339
BaseRepresentation
bin1001000110101010001111…
…0011100011100101111100
31022102221121122101122200100
42101222203303203211330
52303001011113013040
633142312435201100
72052125451061206
oct221524363434574
938387548348610
1010010022001020
11320a254505798
121158014146190
13577c30579b42
142686b817b776
151255b4be9b30
hex91aa3ce397c

10010022001020 has 36 divisors (see below), whose sum is σ = 30363733403640. Its totient is φ = 2669339200224.

The previous prime is 10010022001019. The next prime is 10010022001043. The reversal of 10010022001020 is 2010022001001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10010022000993 and 10010022001011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27805616490 + ... + 27805616849.

It is an arithmetic number, because the mean of its divisors is an integer number (843437038990).

Almost surely, 210010022001020 is an apocalyptic number.

10010022001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010022001020 is an abundant number, since it is smaller than the sum of its proper divisors (20353711402620).

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

10010022001020 is a wasteful number, since it uses less digits than its factorization.

10010022001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55611233354 (or 55611233349 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10010022001020 its reverse (2010022001001), we get a palindrome (12020044002021).

The spelling of 10010022001020 in words is "ten trillion, ten billion, twenty-two million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 55611233339 111222466678 166833700017 222444933356 278056166695 333667400034 500501100051 556112333390 667334800068 834168500085 1001002200102 1112224666780 1668337000170 2002004400204 2502505500255 3336674000340 5005011000510 10010022001020