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15200541031 = 1333712232837
BaseRepresentation
bin11100010100000010…
…11101100101100111
31110020100111111021011
432022001131211213
5222112314303111
610552200203051
71045453316104
oct161201354547
943210444234
1015200541031
1164a0344505
122b42769487
1315832626a0
14a42b07aab
155de729021
hex38a05d967

15200541031 has 16 divisors (see below), whose sum is σ = 16437605184. Its totient is φ = 13973266944.

The previous prime is 15200541029. The next prime is 15200541043. The reversal of 15200541031 is 13014500251.

It is a happy number.

15200541031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 15200541031 - 21 = 15200541029 is a prime.

It is a super-2 number, since 2×152005410312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15200540993 and 15200541011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15200541011) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5356545 + ... + 5359381.

It is an arithmetic number, because the mean of its divisors is an integer number (1027350324).

Almost surely, 215200541031 is an apocalyptic number.

15200541031 is a deficient number, since it is larger than the sum of its proper divisors (1237064153).

15200541031 is a wasteful number, since it uses less digits than its factorization.

15200541031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410.

The product of its (nonzero) digits is 600, while the sum is 22.

The spelling of 15200541031 in words is "fifteen billion, two hundred million, five hundred forty-one thousand, thirty-one".

Divisors: 1 13 337 1223 2837 4381 15899 36881 412151 956069 3469651 5357963 12428897 45105463 1169272387 15200541031