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31428500513 = 292414012273
BaseRepresentation
bin11101010001010010…
…001101110000100001
310000010022021020200112
4131101102031300201
51003331144004023
622234341501105
72161553563244
oct352122156041
9100108236615
1031428500513
1112368629673
126111411795
132c6b312187
14174205925b
15c3e24d478
hex75148dc21

31428500513 has 24 divisors (see below), whose sum is σ = 33441362136. Its totient is φ = 29517824000.

The previous prime is 31428500483. The next prime is 31428500531. The reversal of 31428500513 is 31500582413.

It can be written as a sum of positive squares in 12 ways, for example, as 218684944 + 31209815569 = 14788^2 + 176663^2 .

It is not a de Polignac number, because 31428500513 - 212 = 31428496417 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31428500513.

It is not an unprimeable number, because it can be changed into a prime (31428500413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13825745 + ... + 13828017.

It is an arithmetic number, because the mean of its divisors is an integer number (1393390089).

Almost surely, 231428500513 is an apocalyptic number.

It is an amenable number.

31428500513 is a deficient number, since it is larger than the sum of its proper divisors (2012861623).

31428500513 is a wasteful number, since it uses less digits than its factorization.

31428500513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 31428500513 in words is "thirty-one billion, four hundred twenty-eight million, five hundred thousand, five hundred thirteen".

Divisors: 1 29 41 401 841 1189 2273 11629 16441 34481 65917 93193 337241 476789 911473 1911593 2702597 13826881 26432717 37370393 78375313 766548793 1083741397 31428500513