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10000220131 = 111753477113
BaseRepresentation
bin10010101000000111…
…10011111111100011
3221210221011211002101
421110003303333203
5130440024021011
64332151231231
7502546316506
oct112403637743
927727154071
1010000220131
114271955440
121b31078517
13c34a66725
146ac1bd13d
153d7e032c1
hex2540f3fe3

10000220131 has 8 divisors (see below), whose sum is σ = 11551056624. Its totient is φ = 8556337920.

The previous prime is 10000220129. The next prime is 10000220143. The reversal of 10000220131 is 13102200001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10000220131 - 21 = 10000220129 is a prime.

It is a super-2 number, since 2×100002201312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000220101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26738370 + ... + 26738743.

It is an arithmetic number, because the mean of its divisors is an integer number (1443882078).

Almost surely, 210000220131 is an apocalyptic number.

10000220131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10000220131 is a deficient number, since it is larger than the sum of its proper divisors (1550836493).

10000220131 is a wasteful number, since it uses less digits than its factorization.

10000220131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53477141.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10000220131 its reverse (13102200001), we get a palindrome (23102420132).

The spelling of 10000220131 in words is "ten billion, two hundred twenty thousand, one hundred thirty-one".

Divisors: 1 11 17 187 53477113 588248243 909110921 10000220131