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5154131133 = 326112017817
BaseRepresentation
bin1001100110011010…
…11100110010111101
3111022012101222201200
410303031130302331
541023424144013
62211234530113
7241503251244
oct46315346275
914265358650
105154131133
112205411008
12bba136939
13641a75c48
1436c74395b
1520274ee73
hex13335ccbd

5154131133 has 24 divisors (see below), whose sum is σ = 7574172216. Its totient is φ = 3376512000.

The previous prime is 5154131131. The next prime is 5154131141. The reversal of 5154131133 is 3311314515.

It is a happy number.

5154131133 is a `hidden beast` number, since 5 + 1 + 541 + 3 + 113 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1889380089 + 3264751044 = 43467^2 + 57138^2 .

It is not a de Polignac number, because 5154131133 - 21 = 5154131131 is a prime.

It is a super-3 number, since 3×51541311333 (a number of 30 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5154131097 and 5154131106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5154131131) 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 23 ways as a sum of consecutive naturals, for example, 655441 + ... + 663257.

It is an arithmetic number, because the mean of its divisors is an integer number (315590509).

Almost surely, 25154131133 is an apocalyptic number.

It is an amenable number.

5154131133 is a deficient number, since it is larger than the sum of its proper divisors (2420041083).

5154131133 is a wasteful number, since it uses less digits than its factorization.

5154131133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9085 (or 9082 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 5154131133 is about 71792.2776696770. The cubic root of 5154131133 is about 1727.3691323698.

Adding to 5154131133 its reverse (3311314515), we get a palindrome (8465445648).

The spelling of 5154131133 in words is "five billion, one hundred fifty-four million, one hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 61 183 549 1201 3603 7817 10809 23451 70353 73261 219783 476837 659349 1430511 4291533 9388217 28164651 84493953 572681237 1718043711 5154131133