Search a number
-
+
106131133 = 372868409
BaseRepresentation
bin1100101001101…
…10111010111101
321101201000112201
412110312322331
5204132144013
614310431501
72426046133
oct624667275
9241630481
10106131133
11549a9989
122b662591
1318cac3b4
1410149753
1594b63dd
hex6536ebd

106131133 has 4 divisors (see below), whose sum is σ = 108999580. Its totient is φ = 103262688.

The previous prime is 106131127. The next prime is 106131139. The reversal of 106131133 is 331131601.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 331131601 = 1917427979.

It is an interprime number because it is at equal distance from previous prime (106131127) and next prime (106131139).

It can be written as a sum of positive squares in 2 ways, for example, as 70107129 + 36024004 = 8373^2 + 6002^2 .

It is a cyclic number.

It is not a de Polignac number, because 106131133 - 29 = 106130621 is a prime.

It is a super-2 number, since 2×1061311332 = 22527634783727378, which contains 22 as substring.

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 106131133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106131139) 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 3 ways as a sum of consecutive naturals, for example, 1434168 + ... + 1434241.

It is an arithmetic number, because the mean of its divisors is an integer number (27249895).

Almost surely, 2106131133 is an apocalyptic number.

It is an amenable number.

106131133 is a deficient number, since it is larger than the sum of its proper divisors (2868447).

106131133 is an equidigital number, since it uses as much as digits as its factorization.

106131133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868446.

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 106131133 is about 10301.9965540666. The cubic root of 106131133 is about 473.4574269073.

Adding to 106131133 its reverse (331131601), we get a palindrome (437262734).

The spelling of 106131133 in words is "one hundred six million, one hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 37 2868409 106131133