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5131010106 = 232285056117
BaseRepresentation
bin1001100011101010…
…10000000000111010
3111020120220022122100
410301311100000322
541002014310411
62205051204230
7241102603065
oct46165200072
914216808570
105131010106
1121a3359922
12bb2446676
1363a03c071
143696458dc
152006d4456
hex131d5003a

5131010106 has 12 divisors (see below), whose sum is σ = 11117188602. Its totient is φ = 1710336696.

The previous prime is 5131010099. The next prime is 5131010141. The reversal of 5131010106 is 6010101315.

It can be written as a sum of positive squares in only one way, i.e., 4638835881 + 492174225 = 68109^2 + 22185^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 285056117 = 5131010106 / (5 + 1 + 3 + 1 + 0 + 1 + 0 + 1 + 0 + 6).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142528041 + ... + 142528076.

Almost surely, 25131010106 is an apocalyptic number.

5131010106 is an abundant number, since it is smaller than the sum of its proper divisors (5986178496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5131010106 is a wasteful number, since it uses less digits than its factorization.

5131010106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285056125 (or 285056122 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 5131010106 is about 71631.0694182350. The cubic root of 5131010106 is about 1724.7823130468.

It can be divided in two parts, 51310 and 10106, that added together give a palindrome (61416).

The spelling of 5131010106 in words is "five billion, one hundred thirty-one million, ten thousand, one hundred six".

Divisors: 1 2 3 6 9 18 285056117 570112234 855168351 1710336702 2565505053 5131010106