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10000202002021 = 7111915743537631
BaseRepresentation
bin1001000110000101101001…
…1111001110111001100101
31022102000021021100000111201
42101201122133032321211
52302320403203031041
633134010202402501
72051330220340420
oct221413237167145
938360237300451
1010000202002021
113206075364140
121156133500431
13577026c63b4a
14268025cb29b7
151251dca45631
hex9185a7cee65

10000202002021 has 32 divisors (see below), whose sum is σ = 13207576043520. Its totient is φ = 7335219902400.

The previous prime is 10000202002003. The next prime is 10000202002099. The reversal of 10000202002021 is 12020020200001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10000202002021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000202001989 and 10000202002007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000202003021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 21539125 + ... + 21998506.

It is an arithmetic number, because the mean of its divisors is an integer number (412736751360).

Almost surely, 210000202002021 is an apocalyptic number.

10000202002021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000202002021 is a deficient number, since it is larger than the sum of its proper divisors (3207374041499).

10000202002021 is a wasteful number, since it uses less digits than its factorization.

10000202002021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43537825.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10000202002021 its reverse (12020020200001), we get a palindrome (22020222202022).

The spelling of 10000202002021 in words is "ten trillion, two hundred two million, two thousand, twenty-one".

Divisors: 1 7 11 19 77 133 157 209 1099 1463 1727 2983 12089 20881 32813 229691 43537631 304763417 478913941 827214989 3352397587 5790504923 6835408067 9099364879 47847856469 63695554153 75189488737 129872753273 526326421159 909109272911 1428600286003 10000202002021