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10010800028 = 221929771471
BaseRepresentation
bin10010101001011000…
…01010111110011100
3221211200002022222102
421110230022332130
5131000231100103
64333210104232
7503035252625
oct112454127634
927750068872
1010010800028
114277921259
121b3471b078
13c36ccc218
146ad774a4c
153d8ce2e88
hex254b0af9c

10010800028 has 36 divisors (see below), whose sum is σ = 18680350752. Its totient is φ = 4693006080.

The previous prime is 10010799989. The next prime is 10010800049. The reversal of 10010800028 is 82000801001.

10010800028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100108000282 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10010799982 and 10010800009.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 104333 + ... + 175803.

It is an arithmetic number, because the mean of its divisors is an integer number (518898632).

Almost surely, 210010800028 is an apocalyptic number.

It is an amenable number.

10010800028 is a deficient number, since it is larger than the sum of its proper divisors (8669550724).

10010800028 is a wasteful number, since it uses less digits than its factorization.

10010800028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71610 (or 71589 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 10010800028 in words is "ten billion, ten million, eight hundred thousand, twenty-eight".

Divisors: 1 2 4 19 38 76 97 194 361 388 722 1444 1843 3686 7372 35017 70034 71471 140068 142942 285884 1357949 2715898 5431796 6932687 13865374 25801031 27730748 51602062 103204124 131721053 263442106 526884212 2502700007 5005400014 10010800028